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 707137: Evaluate (1+2+3)�
Click here to see answer by mouk(232)

Question 707252: order the given numbers from least to greatest?
4 1/2,-3.98, 3.33 repeating
Click here to see answer by MathLover1(20850)

Question 707572: a tree grows 1.5 meters during the first year of planting. During each subsequent year, the tree grows 9/10 of the previous year's growth. When the growth of the tree since planting is 11.35 meters, its age is?
Click here to see answer by josgarithmetic(39618)

Question 707818: Please can you confirm the answer for 30 - (x - x) = 4
Click here to see answer by josgarithmetic(39618)

Question 707879: how do i solve and graph the equation x+y < or equal to -3?
Click here to see answer by jim_thompson5910(35256)

Question 708394: five times a number, decreased by 58, is negative 23. find the number?
58 minus negative 23= 81. then 81 divide by 5=16.2
Click here to see answer by solver91311(24713)

Question 708412: the product of 7 and a number, less than 85, is negative 29. What is the number?
negative 29 + 85= 56. 56-7=49
Click here to see answer by josh_jordan(263)

Question 708205: susie makes gift baskets for a party. she has 13 baskets leftover and plans to make 12 more each day. if there are 15 work days until the party, how many baskets will she have?
I have 2 answers 193 and 181.
12*15+13= 193
or 13 + (15-1)12=181 which is correct way?
Click here to see answer by KMST(5328)

Question 708730: direction: write the next three terms in each sequence.
problem: 1, 1/2, 1/4, 1/8
i dont understand this. please help me!
Click here to see answer by KMST(5328)

Question 708337: Construct a difference table to predict the next term of the sequence.
3, −2, 0, 15, 49, 108, . . .
Click here to see answer by KMST(5328)

Question 709103: Please help me solve this dont quite understand 5b-1>-11
Click here to see answer by jim_thompson5910(35256)

Question 709103: Please help me solve this dont quite understand 5b-1>-11
Click here to see answer by rfer(16322)

Question 709480: 1 + 6 + 11+...+81
Click here to see answer by MathLover1(20850)

Question 709818: Evaluate the arithmetic series 8+17+26+35...,n=13
Click here to see answer by MathLover1(20850)

Question 709868: If a 143-mile trip took 6 1/2 gallons of gas, how many miles can be driven with a full tank of 19 gallons?
Click here to see answer by josmiceli(19441)

Question 710624: the 10th term of an arithmetic seq. is 25 and the sum of the 1st 20 terms is 530. find the 17th term of the seq.

Click here to see answer by srinivas.g(540)

Question 710624: the 10th term of an arithmetic seq. is 25 and the sum of the 1st 20 terms is 530. find the 17th term of the seq.

Click here to see answer by stanbon(75887)

Question 710575: Please help me solve this equation:
Given the sum of a and a3 = 3
and the sum of a4 and a6 = 81.
1) find the common ratio, r
p/s: This is what I've done. But then, I'm stuck.
= a+ar^3-1=3
= a+ar^2=3
= a(1+r^2)=3 << FACTORIZE.
= ar^4-1+ar^6-1=81
= ar^3+ar^5=81
= ar^3 (1+r^2)=81 << FACTORIZE.
then, what should I do?
Click here to see answer by lynnlo(4176)

Question 710634: What is the answer to 2 1/2x+67=92?
Click here to see answer by lynnlo(4176)

Question 711137: How long will it take for 100 grams of a substance with a half-life of 2 years to decay to a mass of 50 grams?

Click here to see answer by Alan3354(69443)

Question 711259: you can row a canoe 4 miles per hour upstream and 6 miles per hour downstream. what is the average speed of the canoe in still water?
Click here to see answer by Alan3354(69443)

Question 711687: Is there a value of n such that n^2 + n + 1 is a multiple of 5?
Click here to see answer by Stitch(470)

Question 711767: Find the quotient.
y*9 � y*3
hear are the answers
A)y1/3
B)y*3
C)y*6
D)y*12
Click here to see answer by stanbon(75887)

Question 711766: Simplify.
(y3)5 � y4
hear are the answers
A)y*12
B)y*19
C)y*32
D)y*60
Click here to see answer by stanbon(75887)

Question 711754: What is the next term of the following sequence? 12, 6, 3, ...
hear r the answers
A) 1 1/2
B) 3/4
C) 0

Click here to see answer by checkley79(3341)

Question 711986: Determine the number of terms in the following arithmetic sequence: 315, 304, 293, ... , 18.
Click here to see answer by stanbon(75887)

Question 711986: Determine the number of terms in the following arithmetic sequence: 315, 304, 293, ... , 18.
Click here to see answer by MathLover1(20850)

Question 712264:
What is the sum. if I make 12.60 an hour and I'm getting a 2% raise how much more an hour will I be making
Click here to see answer by checkley79(3341)

Question 713096: Find the sum of all the even integers between 80 and 196
Click here to see answer by htmentor(1343)

Question 713131: Draw a diagonal through cropped picture. Take length of diagonal (3 1/2") and extend it 3 more times on paper. Draw new rectangles with these new diagonal lengths amd measure the widths. What should I be noticing about these new widths? I need to write an arithmetic sequence that has the length of the original diagonal. Using the terms of sequence of diagonal lengths, find the corresponding picture widths. What would the new widths be? I am totally lost on this one.
Click here to see answer by KMST(5328)

Question 713371: how do i figure out the sequence of 7, 3, -1, -5
thank you amy
Click here to see answer by Gogonati(855)

Question 713384: Identify the greatest common factor of
3x^5+6x^4-9x^3+6x^2
then, factor the above expression
Click here to see answer by lynnlo(4176)

Question 713491: write the rule for the sequence 2, 9, 21, 38,...

Click here to see answer by josgarithmetic(39618)

Question 714078: The average of two numbers is 20 and their difference is 6. What is their product?
Click here to see answer by Alan3354(69443)

Question 714188: please help me solve this equation 8-9[(-39)/13+7(-2)-(-2)^2]
Click here to see answer by checkley79(3341)

Question 713629: write the rule for the sequence 2, 9, 21, 38,...
I was recently given an answer but one of the differences that I was given was wrong
Someone gave me 9-21= 11 That would be wrong so would there be a pattern and formula
Click here to see answer by kevwill(135)

Question 714016: The fourth, seventh and sixteenth terms of arithmetic series form a geometric series. If the first six terms of arithmetic series have a sum of 12.
(a) Find the common difference of the arithmetic series
(b) Calculate the common ratio of the geometric series
Click here to see answer by kevwill(135)

Question 712133: find the next two terms in the sequence -5,8,-13,20,-29
Click here to see answer by kevwill(135)

Question 711100: THREE INTEGERS ARE IN A GEOMETRIC SERIES, WHEN 12 IS ADDED TO THE SECOND TERM THE SERIES BECOMES AN ARITHMETIC SERIES AND WHEN 96 IS ALSO ADDED TO THE THIRD TERM THE SERIES CHANGES TO GEOMETRIC SERIES. WHAT ARE THE INTEGERS?
Click here to see answer by kevwill(135)

Question 714515: find the formula of tn for 3,6,12,24,48,96
thanks,
victor
Click here to see answer by Simnepi(216)

Question 714541: Find the first five terms of each sequence.
a. a1 = -4
an = a (n- 1) + 5
Click here to see answer by solver91311(24713)

Question 714744: Abdul's gas tank is 3/8 full. After he buys 6 gallons of gas, it is 3/4 full. How many gallons can Abdul's tank hold?
Click here to see answer by josmiceli(19441)

Question 714941: study the sequence,and find the pattern.then answer the question below. 1,2,4,7,11,16,22
Click here to see answer by jim_thompson5910(35256)

Question 714792: An infinite geometric series has the first term 195 and a common ratio -0.59.
What is the sum of infinity of this series?
Click here to see answer by KMST(5328)

Question 715077: determine the most probable next term in the sequence 3/2 5/4 7/6 9/8 11/10

Click here to see answer by Edwin McCravy(20056)

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