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 935770: the second term A.P is 1 and the fifth term is -11 find the sum of its first 10 term.
Click here to see answer by dkppathak(439)

Question 935824: The terms 5 + x, 8, and 1 + 2x are consecutive terms in an arithmetic sequence. Determine the value of x and state the three terms.
Click here to see answer by MathLover1(20850)

Question 935827: In the geometric sequence 3x^7, m, 12x^3, determine an expression for m.
Click here to see answer by josgarithmetic(39618)

Question 935867: The first and the last term of an arithmetic progression are 9 and 93.If the sum of the arithmetic progression is 663,find the number of terms.
Click here to see answer by mananth(16946)

Question 935889: The seventh term of arithmetic progression series is 29 and the eleventh term is 54. Determine the sixteenth term.
Click here to see answer by rothauserc(4718)

Question 935982: First term is 1 Common difference is 4. Sum of the terms is 153. How many terms are in the series. Show method of calculation.
Click here to see answer by josgarithmetic(39618)

Question 936008: I cant find the logic.
1515=0,
1670=2,
1681=3,
1899=4,
1989=?
Click here to see answer by richard1234(7193)

Question 936170: Hello,
How can i find the first and sum of the first 14 terms of an arithmetic sequence if i only know that the sum of the 3rd and 7th term is 24 and difference between the 6th and 4th is 4?
Thanks alot :)
Click here to see answer by srinivas.g(540)

Question 936199: The ninth term of an arithmetic progression is 52 and the sum of the first twelve terms is 414.Find the first term and the common difference.
Click here to see answer by srinivas.g(540)

Question 936378: A bucket holds 243.5 oz of water. The bucket loses 0.3 oz of water per second. In how many seconds will the bucket be 40% full?
Click here to see answer by josgarithmetic(39618)

Question 936381: In An A.P consists of 10 term, the sum of last 5 terms is 85. If the fourth term is 9, then what is the sum of this A.P
Click here to see answer by mananth(16946)

Question 936448: Hello,
We are working on Arithmetic Sequences. I am stuck.
Can someone please help. I need to find a1 and d.
a15 = 129, a8=22(a1)
Thanks.
Click here to see answer by Fombitz(32388)

Question 936503: 10, 9, 60, 90, 70, 66 what is the next number in the sequence
Click here to see answer by Edwin McCravy(20056)

Question 936693: What is the formula for the nth term of a geometric sequence with a4 = 16 and r = `1/2`?
A) `a_(n)=16(1/2)^(n-1)``
B)` `a_(n)=1/2(16)^(n-1)`
C)`a_(n)=128(1/2)^(n-1)`
D)`a_(n)=128(2)^(n-1)
Click here to see answer by stanbon(75887)

Question 936727: PLEASE HELP ME I AM STUCK.....
AN ARITHMETIC PROGRESSION SERIES HAS THE FIRST TERM 4 AND THE COMMON DIFFERENCE OF 3 .IF THE SUM OF ALL INTEGERS IS 375.HOW MANY TERMS ARE THERE?
PLEASE SOLVE IT AND EXPLAIN ME TOO
Click here to see answer by Danielshinmath(31)

Question 936837: What is the answer to the sequence 15,150,1500

Click here to see answer by Fombitz(32388)

Question 937035: List the first five terms of the sequence
An+1=An + 6 where A1=11 for n>1. (Should be greater than or equal to 1, not greater than)
Click here to see answer by stanbon(75887)

Question 937202: Dafq dude why you do this for free ? You want to look smmart by solving children exercices ?

Click here to see answer by stanbon(75887)

Question 937393: what two number add up to 47 and give the difference of 9
Click here to see answer by Alan3354(69443)

Question 935640: Hi !
Here is a very concrete sequence i 've found in mersenne primes:
n=
1,2,3,4,6,7,8,11,18,24,28,31,98,111,207,328,339,455,583,602,1196 ...
power of every Nth of the prime sequence, of 2^(p[n]) -1 is a mersenne number..
Click here to see answer by richard1234(7193)

Question 937402: x+x^2+x^3+...=3/4
Find x
Click here to see answer by Fombitz(32388)

Question 937411: how to write a function rule for a sequence that has 25 as the sixth term

Click here to see answer by ewatrrr(24785)

Question 937549: The first three terms in a geometric sequence are {512, 384, 288...} Find the next three terms in this geometric sequence and fill in the answer boxes below.
Click here to see answer by ewatrrr(24785)

Question 937593:
I wrote out a general solution here . . . https://www.scribd.com/doc/260182194/Elementary-Sequences
Click here to see answer by jim_thompson5910(35256)

Question 937479: If a= -5, Tn= 22, and Sn= 85, determine n.
Click here to see answer by MathTherapy(10552)

Question 937624: the first and second terms of a geometric sequence is 108 and the sum of the third and fourth terms is 12. Find the two possible values for he first term of the sequence.

Click here to see answer by josgarithmetic(39618)

Question 937668: | �25 | � (84 � 21) + (�3) � (�6)
What is the answer?

Click here to see answer by rothauserc(4718)

Question 937647: If 2b+3=1/8, b= (Please show details)
A. -6
B. -3
C. 0
D. 2
Click here to see answer by rothauserc(4718)

Question 937656: Given an arithmetic sequence with total of the first three terms is equal to 13 and the last N th term is equal to 7. Determine the middle term of arithmetic sequence and its value
Click here to see answer by josgarithmetic(39618)

Question 937701: Which of these sequences is a geometric sequence?
1, 2, 4, 7, 11, 16, 22, �
2, 4, 8, 14, 22, 38, �
3, 6, 9, 12, 15, 18, 21, �
3, 9, 27, 81, 343, 729, �
Click here to see answer by richard1234(7193)

Question 937820: How long is .68 in inches
Click here to see answer by Alan3354(69443)

Question 937865: Hello.
Can someone please help me with this series problem.
I need to find and
Given:
and
Thank you.
Click here to see answer by josgarithmetic(39618)

Question 937865: Hello.
Can someone please help me with this series problem.
I need to find and
Given:
and
Thank you.
Click here to see answer by MathTherapy(10552)

Question 937865: Hello.
Can someone please help me with this series problem.
I need to find and
Given:
and
Thank you.
Click here to see answer by MathLover1(20850)

Question 937928: If you were asked to find the sum of 5+12. What strategy would you ude
Click here to see answer by richard1234(7193)

Question 937928: If you were asked to find the sum of 5+12. What strategy would you ude
Click here to see answer by Alan3354(69443)

Question 938150: geometric sequence 2,P,Q,250. find the values of P and Q
Click here to see answer by rothauserc(4718)

Question 938134: Sequence is 3 numbers and fourth is 10, then two numbers with 7th number being 40
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