Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 204849: If a call costs .99 the first min and .25 each additional min what is the equation for finding the cost of a call? I put y = .99 + .25x, but that was the wrong answer the correct answer is y = .74 + .25x. What equation do you use to get this answer?
Click here to see answer by rfer(16322)

Question 204863: i need help on how to solve geometric series. I have a problem that i simply cannot figure out and i would appreciate your help. My problem is: if A to the first= -54, and r= 2/3 then wich answer is correct?
A. -54, 36, -24, 16
B. -54, -36, -18, -9
C. -54, -36, -24, -16
D. -54, -53 1/3, -52 2/3, -52
Please show me how to solve this problem and give me the solution. thank you
Click here to see answer by Alan3354(69443)

Question 204901: I am not understanding sequences and series? Can someone help me understand this better and show the steps. Solve question given that a3 = 3 then a6= -81 Find r? Find a1. Thank you

Click here to see answer by stanbon(75887)

Question 204934: what is the next number in sequence to 2n+1?
Click here to see answer by stanbon(75887)

Question 204928: If you were given the third and the twenty-fifth terms of an arithmetic sequence how would you find the first term???????
Click here to see answer by stanbon(75887)

Question 204927: Given A to the nth= n-1/n
A. The first four terms are 0, 1/2, 2/3, 3/4 and the sequence is arithmetic
B. The first four terms of the sequence are 0, 1/2, 2/3, 3/4 and the sequence is geometric
C. The first four terms of the sequence are 0, 1/2, 2/3, 3/4 and the sequence is neither arithmetic nor geometric
D. The first four terms of the sequence are 1, 1/2, 2/3, 3/4 and the sequence is arithmetic
Click here to see answer by stanbon(75887)

Question 204926: The sequence 1, 1, 1, 1,...is?
A. arithmetic only
B. geometric only
C. bot arithmetic and geometric
D. neither arithmetic or geometric
Click here to see answer by stanbon(75887)

Question 205090: What is the next terms in the sequence: 3/4, 1, 15/14, 21/19...?
Click here to see answer by stanbon(75887)

Question 205220: find the sum of each series
-60 + (-59) + (-58) + . . . . + 87 + 88 + 89 + 90
Click here to see answer by stanbon(75887)

Question 205408: -9,3,-1,1/3 what is the next term
Click here to see answer by Alan3354(69443)

Question 205410: Kelly currently has 2 credits towards a free meal at her favorite restaurant. To receive a free meal, she must accumulate 20 credits. If she gains 3 credits per week, will she have enough credits to get a free meal on her birthday in 5 weeks?
Click here to see answer by rfer(16322)

Question 205934: I'm confused on how to solve this.
I know i can add it in a calculator bat it would be so long.
I don't know the formula.
Pls. help.
Find the sum: 1 + 2 + 3 ...+ 99 + 100.
Click here to see answer by jim_thompson5910(35256)

Question 205965: What is the 2001st number in the sequence: 2, 5, 8, 11,...?
Click here to see answer by dyakobovitch(40)

Question 205965: What is the 2001st number in the sequence: 2, 5, 8, 11,...?
Click here to see answer by Alan3354(69443)

Question 206234: What is the next number in the sequence 2, 1, 3, 4, 7, 11, �?
Click here to see answer by Targetweek(62)

Question 206236: The sum of the first 100 terms of the sequence 1, -2, 3, 4, -5, 6, 7, -8, 9, 10� is 1750. The sum of the first 100 terms of the sequence 1, 2, -3, 4, 5, -6, 7, 8, -9, 10� is equal to
(A) 1684 (B) 1717 (C) 1783 (D) 1816 (E) None of these
Click here to see answer by Edwin McCravy(20056)

Question 206237: We define the sequence a recursively by setting a_1 = 10 and a_(i+1) = a_i + 4 for all i>= 1. what is the first five terms of this sequence.
Click here to see answer by Edwin McCravy(20056)

Question 206543: I'm trying to complete a number sequence 7.9, 6.8, 5.7, 4.6 were the numbers given after 4.6 I put 3.5,2.4, 1.3 now i have 2 more spaces would the next answer be .60?
Click here to see answer by Alan3354(69443)

Question 206579: A sequence of numbers is constructed by adding the previous two numbers of the sequence together. If the first two numbers are 1 and 3, the eighth number in the sequence is
(A) 29 (B) 30 (C) 46 (D) 47 (E) 76
Click here to see answer by rfer(16322)

Question 206718: Find the sum of the first 20 terms of the series
1 + 8 + 64 + 512 + ...
Please help, I guess I am just unsure of the formula I should use for this...thanks

Click here to see answer by vleith(2983)

Question 206743: On the first day Juanita receives 1 dollar. On each succeeding day, she receives 1 dollar more than the total received in all preceding days. On which day will she first receive an amount greater than one hundred dollars?
(A) 6th day (B) 7th day (C) 8th day (D) 9th day (E) 10th day
Click here to see answer by stanbon(75887)

Question 206862: A sequence is formed in the following way: The first two numbers of the sequence are 1 and 3. Each subsequent number is the sum of the previous two members of the sequence. What is the third even number of the sequence?
(A) 18 (B) 34 (C) 76 (D) 144 (E) 322
Click here to see answer by rfer(16322)

Question 206863: How many ways can the numbers 1, 2, 3, 4 and 5 be placed in a line so that neither 1 nor 5 occupy either the first or the last place in the sequence?
(A) 6 (B) 24 (C) 36 (D) 54 (E) 72
Click here to see answer by Edwin McCravy(20056)

Question 206922: a= gm solve for g=
Click here to see answer by Alan3354(69443)

Question 207023: Hi, I was wondering if you can help me with the following problem.
I need to write the following series using the summation notation:
3-6+12-24+48-96
I can tell that you get the next number in the series by multiplying the previous one by -2.... but I don't know where to go from there.
Please help.
Thank You
Click here to see answer by jim_thompson5910(35256)

Question 207221: How many times on a digital clock in a 24hr span will the same digit appear at least 3 times in a row?
Click here to see answer by rfer(16322)

Question 207221: How many times on a digital clock in a 24hr span will the same digit appear at least 3 times in a row?
Click here to see answer by MathTherapy(10552)

Question 207631: -3,-1,
What Is The Next Two Terms

Click here to see answer by rfer(16322)

Question 207755: hey,the question is_
if a sequence follows the same patterns as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
Click here to see answer by stanbon(75887)

Question 207759: URGENT QUESTION...
in the following sequence of numbers a, ar, ar^2, ar^3...
a= 1st term (t1)
fina an expression in terms of a,r for
i) 8 th term (t8)
ii) 11 th term (t11)
iii) in the sequence 3,6,12..
find the value of the 15th term.
Click here to see answer by Alan3354(69443)

Question 207864: URGENT QUESTION...
the question is-
if a sequence follows the same pattern as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
thanks
Click here to see answer by RAY100(1637)

Question 207863: URGENT QUESTION...
the question is-
if a sequence follows thesame pattern as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
thanks
Click here to see answer by RAY100(1637)

Question 208135: Find the next two terms of the geometric sequence 50, 40, 32, �
Click here to see answer by checkley77(12844)

Question 208315: Describe a pattern in the sequence of numbers. Predict the next number:
0,1,4,9...
Click here to see answer by Edwin McCravy(20056)

Question 208466: identify pattern and next number
3,5,6,10,12,20
Click here to see answer by checkley77(12844)

Question 208696: Find the 20th term of the following sequence.
-6, -4, -2, 0, ...
032
044
046

Click here to see answer by stanbon(75887)

Question 208841: A square support unit in a television is made with a side measuring 4 centerimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 4.3 centimeters. By how much will the area of the square be increased?
Click here to see answer by rfer(16322)

Question 208839: The area of a circle 28 square meters. What is its circummference?
Click here to see answer by Alan3354(69443)

Question 209013: I need help figuring this out.
The area of a circle 28 square meters. What is its cicumference? (Use A=nr^2 and C=2nr to figure out the problem)
Click here to see answer by rfer(16322)

Question 209242: find the first term of the arithmetic progression whose third term a3 is 7 and
whose eighth term a8 is 17
a)0 b) 2 c)3 d)1 e) 4

Click here to see answer by stanbon(75887)

Question 209304: Add -5 to both sides of the inequality 7>1. Then divide both sides of the inequality -25> -30 by 6. Explain what happens in both examples and when the direction of the inequality symbol is reversed.
Click here to see answer by stanbon(75887)

Question 208540: find the sum of the first n terms of each arithmetic series
n=18; a1=40, d=-7
Click here to see answer by checkley77(12844)

Question 209751: Please Help.New Student.
Need Tonight For Homework Due In The Morning.
Question:
a.Write the first six terms of the sequence that starts with 1, and for which the difference between consecutive terms is first 2, and then 3,5, and 6.
b.Evaluate n squared + n /2 for n=1,2,3,4,5 and 6.Compare the sequence you get with your answer for part a.
c.Draw a diagram to represent n squared +n/2For n=5
Click here to see answer by stanbon(75887)

Question 209792: Please help me solve this sequence problem from Elementary and Intermediate Algebra. Write a formula for the general term of the infinite sequence.
-1,2,-4,8,16,...
Click here to see answer by tutor_paul(519)

Question 209830: I need to know the sequence of this 1,2,6,24,120
Click here to see answer by Earlsdon(6294)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790