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

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Question 1178889: Find the nth term of the geometric sequence.
−5, 20, −80,
Click here to see answer by ikleyn(52787)

Question 1178888: Find the nth term of the geometric sequence.
0.2, 0.02, 0.002,
Click here to see answer by josgarithmetic(39617)

Question 1178888: Find the nth term of the geometric sequence.
0.2, 0.02, 0.002,
Click here to see answer by ikleyn(52787)

Question 1178887: Find the nth term of the geometric sequence.
c^2, c^5, c^8....
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Question 1178886: The distance a ball rolls down a ramp each second is given by the arithmetic sequence whose nth term is 2n − 1 feet. Find the distance the ball rolls during the fourteenth second and the total distance the ball travels in 14 seconds.
Click here to see answer by ikleyn(52787)

Question 1178883: To save for the replacement of a computer, a business deposits $250 at the end of each month into an account that earns 7% annual interest compounded monthly. Find the future value of the ordinary annuity in 4 years. (Round you answer to the nearest cent.)
Click here to see answer by Solver92311(821)

Question 1178885: Find the requested term of the geometric sequence.
the third term of a geometric sequence whose first term is 4 and whose fifth term is 64
Click here to see answer by math_helper(2461)

Question 1178891: Explain how to find the sum 1+2+3+4+...+175 without using the sum formula.
Click here to see answer by Boreal(15235)

Question 1178891: Explain how to find the sum 1+2+3+4+...+175 without using the sum formula.
Click here to see answer by Solver92311(821)

Question 1178891: Explain how to find the sum 1+2+3+4+...+175 without using the sum formula.
Click here to see answer by math_helper(2461)

Question 1178891: Explain how to find the sum 1+2+3+4+...+175 without using the sum formula.
Click here to see answer by ikleyn(52787)

Question 1178969: 1, 2, 4, 6, 10, 12, 16, 18, 22, 28, 30, 36, 40
next number in sequence
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Question 1179140: Find the missing terms of the arithmetic sequence. ...,-7,?,?,?, 13,......
Click here to see answer by MathLover1(20850)

Question 1179140: Find the missing terms of the arithmetic sequence. ...,-7,?,?,?, 13,......
Click here to see answer by MathTherapy(10552)

Question 1179178: If the third term in an arithmetic sequence is 7 and the common difference is -5, what is the value of the fourth term?

Click here to see answer by ikleyn(52787)

Question 1179179: 1) What is the next term in this geometric sequence?
104, -52, 26, -13, ...
2)If the second term in a geometric sequence is -8 and the common ratio is 2, what is the value of the third term?

3)Determine whether the following sequence is arithmetic, geometric, or neither.
1 1/3,2, 2 2/3, 3 1/3

4)Determine whether the following sequence is arithmetic, geometric, or neither.
1, 4, 9, 16, ..

5)Determine whether the following sequence is arithmetic, geometric, or neither.
-7, -14, -28, -56, ...

Click here to see answer by ikleyn(52787)

Question 1179181: What is the formula for the following geometric sequence?
3, 12, 48, 192, ...
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Question 1179201: Find the sum of the first nine terms in the series below.
{1+8+27+64+125+...}
Click here to see answer by mananth(16946)

Question 1179198: If the information given below represents an arithmetic sequence find A1.
a14= 16 and d= -3/2

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Question 1179196: Identify the formula for sequences given below.
1. {11,7,3,-1,-5...}
2.{76.8,96,120,150...}

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Question 1179207: Write a formula for the sequence below,then find a10
{-4,-12,-36,-108}
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Question 1179224: I need to know the next NINE numbers in this sequence:
2,12,3,13,10,16,6,17,7,1
Click here to see answer by ikleyn(52787)

Question 1179292: 2x^2+3x-2> or equal to 0

Click here to see answer by MathLover1(20850)

Question 1179299: A well driller charges $9.00 per foot for the first 10 feet, $9.10 per foot for the next 10 feet, $9.20 per foot for the next 10 feet, and so on, at a price increase at $0.10 per foot for succeeding intervals of 10 feet. How much does it cost to drill a well to a depth of 150 feet?
We need to solve this by using some sort of sequence and its equation. Thank you
Click here to see answer by ikleyn(52787)

Question 1179300: A rubber ball is dropped from a height of 100 feet, and at each bounce it rebounds one-half of the height from which it last fell. What distance has the ball traveled up to the instant it hits the ground for the eight time? Solve using a geometric sequence.
Click here to see answer by Boreal(15235)

Question 1179441:
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Question 1179818: a. Given the arithmetic sequence: 100, 200, 300, 400 ,..,. Find
i. The 10th term,
ii. The 15th term,
iii. The sum of terms from the 5th to the 12th inclusive.

Click here to see answer by josgarithmetic(39617)

Question 1179832: If f(1)=3 and f(n)=−4f(n−1) then find the value of f(5).
Click here to see answer by ikleyn(52787)

Question 1179832: If f(1)=3 and f(n)=−4f(n−1) then find the value of f(5).
Click here to see answer by MathLover1(20850)

Question 1179861: A man is able to save #50 of his salary in a particular year ,after this,every year he saved #20 more than the preceeding year .how long does it take him to save #4370
Click here to see answer by mananth(16946)

Question 1179862: The first winner in a lottery get #2000 while subsequent winners get #50 less than the preceeding winner. how much does the 20th position get?
Click here to see answer by mananth(16946)

Question 1179874: find a n for each geometric sequence a 12 for 96,48,24,
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Question 1179874: find a n for each geometric sequence a 12 for 96,48,24,
Click here to see answer by ikleyn(52787)

Question 1179963: Find explicit formulas for sequences with the initial terms given:1) 0, 1, -2, 3, -4, 5,
Click here to see answer by greenestamps(13200)

Question 1180080: What is the sum of the largest and smallest of the numbers -1/4 , -1/3 , 0 , 3/2 , 4/3

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Question 1180187: the sum of the arithmetic serie whose first two terms are -12 and -8, respectively, and whose last term is 124.
Click here to see answer by mananth(16946)

Question 1180187: the sum of the arithmetic serie whose first two terms are -12 and -8, respectively, and whose last term is 124.
Click here to see answer by MathLover1(20850)

Question 1180266: Use the explicit formula an = a1 + (n - 1) • d to find the 500th term of the sequence below. 24, 30, 36, 42, 48, ...
Click here to see answer by ikleyn(52787)

Question 1180276: If f(1) = 3 and f(n) = -2f(n-1) + 1, then what is f(5)?
Click here to see answer by greenestamps(13200)

Question 1180291: The sum of a geometric series with seven terms is 56,133, and the common ratio is r = 3. Find the first term.
Click here to see answer by ikleyn(52787)

Question 1180291: The sum of a geometric series with seven terms is 56,133, and the common ratio is r = 3. Find the first term.
Click here to see answer by greenestamps(13200)

Question 1180309: The second term of an exponential sequence is 9 while the fourth term is 81. Find the common ratio and first term
Click here to see answer by ikleyn(52787)

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