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 1082359: Find the recursive formula for the sequence -2, 1, 4, 7, 10. Help is appreciated!
Click here to see answer by ikleyn(52788)

Question 1082362: Given the first four terms and the number of terms of the geometric series, find the finite sum.
-3 − 6 − 12 − 24 − �, n = 9
Click here to see answer by ikleyn(52788)

Question 1082358: Ben bought a new car and took out a loan for $20,000 with a monthly interest of 0.5%. If Ben pays $150 per month, what is the balance after 3 months?
Click here to see answer by Theo(13342)

Question 1082582: Find the 97th term for the sequence: -3, -6, -12
I got as far as: a1=-3 r=2
an=3 x 2^n-1
Click here to see answer by josmiceli(19441)

Question 1082581: Evaluate:
1- 1/5 + 1/25 - 1/125+...
Click here to see answer by josmiceli(19441)

Question 1082692: 23,37,53,?
Click here to see answer by Edwin McCravy(20056)

Question 1082674: 101,64,38,21,?,6
Click here to see answer by Edwin McCravy(20056)

Question 1082858: what is the next three sequence numbers for the following;
3, 2, 3/2, 6/5, 1?
Click here to see answer by KMST(5328)

Question 1082968: evaluate 1-3+5-7+9-11...if the number of terms are 25

Click here to see answer by ikleyn(52788)

Question 1082981: The first 4 terms of the following sequence an= (1/2)^n are:
A) 1/2,-1/4,1/3,1/12
B) -1/2,1/4,1/8,1/16
C) 1/2,1/4,-1/8,-1/16
D) 1/2,1/4,1/8,1/16
Click here to see answer by Edwin McCravy(20056)

Question 1082980: What are the first four terms of the following sequence: an = (-3)^n for n ≥ 1?
A) 0, -3, 18, -81
B) -3, 18, -81, 324
C) 3, 18, 81, 324
D) 18, -81, 324, -1215
Click here to see answer by Edwin McCravy(20056)

Question 1082979: The first 4 terms of the following sequence an= (-2)^n/(n!) are -2,2,-4/3,2/3
True or False
Click here to see answer by Edwin McCravy(20056)

Question 1082960: the 3rd and 4th terms of geometric progression are 12 and 8. find the sum to infinity progression.
Click here to see answer by KMST(5328)

Question 1082960: the 3rd and 4th terms of geometric progression are 12 and 8. find the sum to infinity progression.
Click here to see answer by amfagge92(93)

Question 1083003: the fifth term of a geometric sequence is 252 and the common ratio is 0.5 find the first term and the sum of the first ten terms
Click here to see answer by josgarithmetic(39618)

Question 1083003: the fifth term of a geometric sequence is 252 and the common ratio is 0.5 find the first term and the sum of the first ten terms
Click here to see answer by MathTherapy(10552)

Question 1083001: If t>o then (t2+t)(t3+t2) over (t2+t)+(t3+t2) equals what an how do i figure out the problem. The options I get are A. 1 B. t3square+t2square+t C. t D.t2square E. (t+1)2square
Click here to see answer by MathLover1(20850)

Question 1083026: The 3rd and the 4th terms of a geometric progression are 12 and 8 respectively. Find the sum to infinity of the progression.
Click here to see answer by amfagge92(93)

Question 1083084: the sum of the first twelve terms of an arithmetic sequence is 1188. if the sixth term is 89, find the first term, the common difference and the fifteenth term
Click here to see answer by josgarithmetic(39618)

Question 1083106: the 3rd and 4th terms of geometric progression are 12 and 8 respectively.find the sum to infinity of progression?
plz solve my this question. thanks a lot.

Click here to see answer by Boreal(15235)

Question 1083139: A boy studies two hours a day from monday thorugh sunday. How many hours he study on sunday in order to have an avarage of 3 hours a day for the week?
Click here to see answer by Boreal(15235)

Question 1083196: If x= -2 what is 2x

Click here to see answer by ikleyn(52788)

Question 1083236: What is the next number of this series 0,1,5,32,48,?
Click here to see answer by natolino_2017(77)

Question 1083161: The seventh term of a geometric sequence is twice the fifth term and the sum of the first seven terms is 254. All the terms are positive. Find the first term
Click here to see answer by ikleyn(52788)

Question 1083306: I need to know what the ? next number is in these two sequences:
2, 7, 26, 101, 400, ?
7, 21, 8, 72, 9, ?
Click here to see answer by Edwin McCravy(20056)

Question 1083331: Find the sum of n terms of series 1+3x+5x^2+7x^3+.........
Click here to see answer by Edwin McCravy(20056)

Question 1083343: A geometric progression and an arithmetic progression have the same first term. The second and third terms of the geometric progression, which are distinct, are equal to the third and fourth terms of the arithmetic progression, respectively.
(1) Find the common ratio of the geometric progression.
(2) Show that the fifth term of the arithmetic progression is zero.
Click here to see answer by htmentor(1343)

Question 1083357: The sum of three numbers which are consecutive terms of an A.P is 21.If the second number is reduced by 1 & the third is increased by 1, we obtain three consecutive terms of a G.P,find the numbers?
Click here to see answer by natolino_2017(77)

Question 1083322: Given the sequence 10, -5, 25, -35, 85, -155 what is the next number?
Click here to see answer by Boreal(15235)

Question 1083464: (4�3)�(9�8)�(25�24)�(49�48)�(121�120)�(169�168).....∞ =?
Click here to see answer by math_helper(2461)

Question 1083464: (4�3)�(9�8)�(25�24)�(49�48)�(121�120)�(169�168).....∞ =?
Click here to see answer by ikleyn(52788)

Question 1083476: Evaluate each arithmetic series described.
A1=3/2 d=1/2 n=50
Click here to see answer by KMST(5328)

Question 1083476: Evaluate each arithmetic series described.
A1=3/2 d=1/2 n=50
Click here to see answer by MathTherapy(10552)

Question 1083495: Jimmy invest Rm 15,000 in an account for six years. The investment account pays 8%
compounded semi-annually for the first two years and 9% compounded monthly for the
rest of the period.
a. What is the maturity value of this investment?
b. Find the interest earned from this investment.
2. Given two interest rate (a) 4.8% compounded monthly and (b) 5% compounded every
three months, which of the two interest rates provides a better return?
Click here to see answer by Boreal(15235)

Question 1083503: Given the arithmetic series : 12+18+24+....+2880
Calculate the sum of all the terms of the series tht are not visible by 4
6x+12;2x+4;andx-7 are the first three terms of a geometric sequence
Solve for x

Click here to see answer by KMST(5328)

Question 1083522: Find the missing term or terms in each geometric sequence.
...,4,_,_,108, ...
Click here to see answer by jim_thompson5910(35256)

Question 1083520: find the missing terms in each arithmetc sequence.
...,3/2,_, _,0,...
Click here to see answer by josgarithmetic(39618)

Question 1083543: A business owner takes on a $8,000 loan to cover expenses. The interest rate on the loan is 3% per year. Each year, the business owner pays $500 toward the loan. Find the balance on the loan after the third payment is made (round your answer to the nearest cent).
A) $7,472.20
B) $7,196.37
C) $6,912.26
D) $7,740.00
Click here to see answer by jim_thompson5910(35256)

Question 1083542: What is the sum of all the multiples of 7 between 10 and 200?
Click here to see answer by MathLover1(20850)

Question 1083546: A population of bacteria originates with 2,000 bacteria. After a harmful substance is introduced into the environment, the rate of decline of the bacteria population is 2% per hour. In addition, 35 bacteria are added to the population each hour. How many bacteria are in the population after two hours (round your answer to the nearest whole number)?
A) 1,995
B) 1,925
C) 1,852
D) 1,990
Click here to see answer by Boreal(15235)

Question 1083544: A population of bacteria originates with 500 bacteria. After a harmful substance is introduced into the environment, the rate of decline of the bacteria population is 2% per hour. In addition, 30 bacteria are added to the population each hour. How many bacteria are in the population after two hours (round your answer to the nearest whole number)?
A) 345
B) 540
C) 566
D) 450
Click here to see answer by Boreal(15235)

Question 1083545: A population of bacteria originates with 8,700 bacteria. After a harmful substance is introduced into the environment, the rate of decline of the bacteria population is 9% per hour. In addition, 50 bacteria are added to the population each hour. How many bacteria are in the population after three hours (round your answer to the nearest whole number)?
A) 7,300
B) 6,141
C) 6,693
D) 7,068
Click here to see answer by jim_thompson5910(35256)

Question 1083559: An Arithmetic Sequence has ten terms. The sum of the first three terms is 18 while the sum of the last three terms is 81. What is the sum of all ten terms?
Click here to see answer by ikleyn(52788)

Question 1083509: 3, -6, 12, 4, 20, ? can not figure this out....

Click here to see answer by math_helper(2461)

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