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

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Question 856167: sarah cannot completely remember her four digit atm pin number,she does remember first two digit and she knows that each of the last two digits greater than 5,th atm will allow her three tries before it blocks further access.if she andomly guesses the last two digits,what is the probability that she will get access to her account?

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Question 856238: If 1/y+ax,1/2y,1/y+az are in AP prove that a^2 x,y,z are in GP
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Question 851840: if the height of a stratocumbus clouds is 600 feet, what is the inequality
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Question 855005: Suppose you began making annual investments several years ago in a mutual fund in order to save for retirement. You initially invested $1000 and increased the amount by 3% per year as your salary rose. Shares of the fund initially cost $50 each and have been increasing in price by 12% each year. Write a rule for the amount invested in year (n) then a rule for the share price in year n at the time you invested.
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Question 844488: Find five consecutive terms of an a.p whose sum is 45 and sum of cubes of 2nd and 4th term is 1944
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Question 846691: An exponential sequence is such that the third term minus the first term is 48. The fourth term minus the second term is 144. Find the common ratio, the first term, the sixth term
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Question 846732: The sum of the first two terms of an exponential sequence is 135 and the sum of the third and the fourth terms is 60. Given that the common ratio is positive, calculate the common ratio and d first term
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Question 841756: .If �n� goes from 1 to 3 and the summation of �na� = 6a, then what will be the value of �a�?
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Question 841747: 1,2,5,7,11,-,17 find the no of serise?-
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Question 846694: An exponential is such that the 3rd term minus the first term is 48. The fourth term minus the second term is 44. Find the common ratio and the first term

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Question 856583: solve the differance between 0,679666... and 2/3 as a fraction
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Question 852462: 0.5 2.25 14.0625 _______65534.0000152587
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Question 856664: If something costs 133.00 and the price is increased by 1/7 how do you work out the new price
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Question 856699: 1/3, 1/6, 1/9, 1/12, Find the formula.
Click here to see answer by jim_thompson5910(35256)

Question 856896: For an AP the sum of the 4th and 5th terms is 32 and sum of 2nd and 3rd terms is 16. What is the common difference and first term?
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Question 856796: If the third term of a GP is 36 and the 6th term is 243/2 find the first term,the common ratio and the sum of the 8th terms
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Question 856924: Use the formula to evaluate the series 2-10+50-250...-a6
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Question 856924: Use the formula to evaluate the series 2-10+50-250...-a6
Click here to see answer by ewatrrr(24785)

Question 856913: For a geometric sequence, the sum of the 4th and 5th terms is 144. The sum of the 2nd and 3rd terms is 16. Given that the common ratio is positive, determine the sum of the 6th term.
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Question 856856: The third term of a geometric progression is 36 and the sixth term is 243/2.find the first term and common ratio
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Question 856795: If the third term of a GP is 36 and the 6th term is 243/2 find the first term,the common ratio and the sum of the 8th terms
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Question 842311: What are multiples of 1/5 and how do you write the multiples as a sum
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Question 843423: The sum of the first five terms of an arithmetic series is 25. The sum of the first seven terms is 49. What are the values of t1, t12 and S12?
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Question 843209: the sum of the fourth and twelfth term of an A.P is 120.what is the sum of the first 15 terms of the A.p

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Question 843224: The 1st term of an arithmetic sequence is 6 times the 5th term. The sum of the 2nd and 8th terms is 8. Find the 20th term of this sequence?
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Question 841816: if 2;x;11;y are four successive (follow one after the other) terms of an arithmetic sequence,determine x and y
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Question 857036: The product of two numbers is 20. If one of the numbers is 5/19, what is the other number?
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Question 845171: If x=5 ,determine the values of
The first three terms
The 25th term
The sum of the first 30 terms
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Question 857241: The sum of an AP is 20 the 1st term being 8 and the common difference is -2 find the number of terms in the sequence
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Question 857289: The sum of the first and second term of an AP is 4,if the tenth term is 19 find the sum of the fifth and sixth terms
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Question 857461: For the arithmetic sequence with given first term 5 and common difference 3:
its nth term is...?
i know the formula but i dont know how to answer or find this question
Click here to see answer by ewatrrr(24785)

Question 857459: For the arithmetic sequence with given first term 5 and common difference 3:
its nth term is...?
i know the formula but i dont know how to answer or find this question
Click here to see answer by josgarithmetic(39617)

Question 857207: What number should replace the question mark?
0, 19, 378, 57,? , 95
Click here to see answer by richwmiller(17219)

Question 853275: Use summation notation to write the series 2.2+8.8+15.4+... for 5 terms
Note: In each of these images, the lower limit of the summation notation is either "n=1" or "n=0"
a. The answer has a 4 on top of what looks like a backwards 3, and n-0 under it and then (-5.4+6.6n)
b. 4 on top of the backwards 3 and n-0 under it and then (-4.4+6.6n) next to it.
c. 5 on top of the backwards 3 and n-1 under it and then (-6.6+4.4n) next to it.
d. 5 on top of the backwards 3 and n-1 under it and then (-4.4+6.6n) next to it.

Click here to see answer by richwmiller(17219)

Question 855540: Diana received 65 points on a project for school. She can make changes and receive three-tenths of the missing points back. She can make as many corrections as she wants. Create the formula for the sum of this geometric series and explain your steps in solving for the maximum grade Diana can receive. Identify this as converging or diverging.
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Question 857693: What is the next sequence random number 80 75 71 13 18, 16 46 20 38 57

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Question 857283: Given numbers a,b,c find x: a+x, b+x, c+x are
consecutive in a geometric sequence. What is x?
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Question 822530: 5 years ago Sandy started paying R 200.00 per month into a retirement fund. She has increased her payment by 10% every year. what is the total amount of money that sandy has paid into the fund so far?
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Question 857752: can you help me to find three numbers which are in arithmetic series and in geometric series and the common difference or common ratio should not be zero
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Question 857893: Find the sum of the first 10 terms of the following sequence.
−24, −12, −6, ...
The numbers go down by multiplication of 1/2. When I tried working this out, I got -14181/128 and it is telling me it is wrong.
Click here to see answer by JulietG(1812)

Question 857975: Asif purchased a car for Rs 360000.The amount is payable in forty monthly installments which are in arithmetic progression. After paying 30 installments one third of the amount would remain unpaid.The amount which Asif would be required to pay as the 35th installment is:
(a) Rs. 11600
(b) Rs. 11700
(c) Rs. 11900
(d) Rs. 11800
Click here to see answer by richwmiller(17219)

Question 854997: You borrowed $500 from your parents to buy a computer. The arrangements of the loan are such that you will make payments of $125 per month plus 1% interest on the unpaid balance. Find the first year's monthly payments you will make and the unpaid balance after each month. The find the total amount of interest paid over the term of the loan.
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Question 858020: S is the sum of the first 2n terms of a GP, if the sum of the alternate terms of the same gp is S/4, find the common ratio of the GP
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Question 858034: 6,x,y,16 solve for value of x
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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