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

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Question 59091: Use the geometric sequence of numbers 1, 3, 9, 27, … to find the following: a) What is r, the ratio between 2 consecutive terms? Answer: Show work in this space. You can this r easily by taking the ratios b) Using the formula for the nth term of a geometric sequence, what is the 10th term? Answer: Show work in this space. c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms? Answer: Show work in this space. Click here to see answer by jayanthi(5)

 Question 60451: hi, I'm Sarah and i'm in 10th grade taking algebra 2, but i'm also taking an SAT prep course, and i'm having a little trouble with questions involving finding the nth term. it's quite a bit more advanced than regular math, but i hope you can still give me a hand. here is an example of one of the problems i was given: Instructions: writs the general term of the sequence: 1,8,27,64,125,... (answer goes here) -> Nth term: i was also given problems using variables; but i can't understand them without first understanding how to find the answer using numerical values. i would be most appreciative if you could also work one of the questions with variables so i can get an idea of how to work them. here is a question with variables: The sequence a, a+d, a+2d, a+3d, a+4d,... has as it's Nth or general term (answer goes in blank) -> _________ thank you in advance for your help! Click here to see answer by hayek(51)
 Question 60451: hi, I'm Sarah and i'm in 10th grade taking algebra 2, but i'm also taking an SAT prep course, and i'm having a little trouble with questions involving finding the nth term. it's quite a bit more advanced than regular math, but i hope you can still give me a hand. here is an example of one of the problems i was given: Instructions: writs the general term of the sequence: 1,8,27,64,125,... (answer goes here) -> Nth term: i was also given problems using variables; but i can't understand them without first understanding how to find the answer using numerical values. i would be most appreciative if you could also work one of the questions with variables so i can get an idea of how to work them. here is a question with variables: The sequence a, a+d, a+2d, a+3d, a+4d,... has as it's Nth or general term (answer goes in blank) -> _________ thank you in advance for your help! Click here to see answer by josmiceli(9649)

 Question 60971: To whom may it concern, I have difficulty to answer this question. To find the width of a river, a boy places a wooden peg at a point A on one side directly opposite an object B on the opposite bank. From A, he walks 50 m along the bank to a point C. He observes that ACB = 34°. Calculate the width of the river. Please help. Thanks in advanced. CH Lam Click here to see answer by ankor@dixie-net.com(15624)

 Question 61045: The instructions are to tell whether each series has a sum. if it does give its value. The problem is 0.7 + 0.07 + 0.007 + 0.0007 i have no clue how to solve this Please help Click here to see answer by joyofmath(189)

 Question 61044: Hey, I have a problem where the instructions say : Tell Whether each series has a sum. If it does, give its value the problem i need help with is 2/3 + 1 + 3/2 + 9/4... i dont know how to get the answer or how to find it Click here to see answer by joyofmath(189)

 Question 60972: To whom may it concern, I have encountered problem to do this question. The angle of elevation of the top of a post from a point on level ground 38 m away its 33.23°. Find the height of the post. Please help. Thanks a lot. CH Lam Click here to see answer by josmiceli(9649)

 Question 61046: i dont understand this one it is The sigma sign, with the infinity sign on the top of it, K=1 below it, and to the right of it oh my god please help ! =] Click here to see answer by oberobic(2304)

 Question 60973: To whom may it concern, I have trouble to do this question. The length and width of a triangle are 19.2 cm and 12.4 cm respectively. Find the angle between a diagonal and the shorter side of the triangle. Please help. Thank you very much. CH Lam Click here to see answer by uma(370)

 Question 60970: To whom may it concern, I have trouble to get the answer for the follwoinh questions. A bank charges 2.25% per month simple interest on personal loan. If John borrows \$6400 for a period of 2 years and 1 month, find the total interest he has to pay. Please help. Thank you very much. CH Lam Click here to see answer by uma(370)

 Question 62129: Find three consecutive numbers whose sum is 126? Could you show the steps for me. Click here to see answer by joyofmath(189)
 Question 62129: Find three consecutive numbers whose sum is 126? Could you show the steps for me. Click here to see answer by stanbon(57222)

 Question 62204: what is the three consecutive numbers whose sum is 126? Click here to see answer by 303795(595)

 Question 62317: Solving systems by elimination how do i solve this: {2 over 3x -3y = 1 over 5 {2x-9y =4 i know you have to find out what x and y equiels to but i don't know how. Click here to see answer by ankor@dixie-net.com(15624)

 Question 63000: Please help me with the following : Find three consecutive even integers such that 6 times the first is 16 less than four times the sum of the second and third. thank u Click here to see answer by 303795(595)

 Question 63271: I am having trouble on this homework problem. Any help would be appreciated. Thank you. If a6=-17 and S6=-12 find a1 and d Click here to see answer by uma(370)

 Question 63423: 1. prove that: n²-1000n-> infinity as n-> infinity 2. use standard results to show that: n^2-3n+1/n+5 ->infinity as n->infinity Click here to see answer by Edwin McCravy(8880)

 Question 63561: I need help on this homework problem. Thank you for any help you can provide. a1=1 r=-1 find s20 I keep getting 1 as the answer but the answer is 0. what am I missing? Click here to see answer by stanbon(57222)

 Question 63316: find the first four terms of the sequence a) a[n]=n^3+1 b) a[1]=4;a[n]=3a[n-1]+1 thank you... Click here to see answer by venugopalramana(3286)

 Question 64423: Use the geometric sequence of numbers 1, 2, 4, 8,... to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the nth term of a geometric sequence, what is the 24th term? c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms? Click here to see answer by Edwin McCravy(8880)

 Question 64422: Use the geometric sequence of numbers 1, 1/2, 1/4, 1/8,...to find the following: a) What is r, the ratio between 2 consecutive terms? b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 10 terms? Please round your answer to 4 decimals. c) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first 12 terms? Please round your answer to 4 decimals. d) What observation can you make about these sums? In particular, what whole number does it appear that the sum will always be smaller than? Click here to see answer by Edwin McCravy(8880)

 Question 65199: Find the sum of the geometric series: 1 + 1/4 + 1/16 + 1/64... I tried to do the series but the formula in the turorial was ocnfusing to me. Thanks for any help! Click here to see answer by joyofmath(189)

 Question 65369: Can someone tell me how to input a factorial (!) equation to find the first 5 terms into a TI-83? For example: b{n}=((n+2)!)/n! Thank you. Click here to see answer by stanbon(57222)

 Question 65388: Find the Arihmetic means of the sequence 23, ___, ____, ____, 67 Click here to see answer by stanbon(57222)

 Question 65389: Find the first three terms of the arithmetic series in which asub1= 5 asubn= 33 and Ssubn= 152 Click here to see answer by stanbon(57222)

 Question 65391: Find the common ratio of the geometric sequence 81, -27, 9, -3, ... Click here to see answer by stanbon(57222)

 Question 65393: find asub 1 for each geometric series described 1. Ssubn= 45/8 r=1/2 n=4 2. Subn=-242 r=3 n=5 Click here to see answer by stanbon(57222)

 Question 65390: Find the geometric means of each sequence 1. 9,___, ____, -243 2. 1.5, ___, ___, ___ 384 Click here to see answer by stanbon(57222)

 Question 65514: Hello. I have no idea how to solve the following problem. Apparently, our teacher forgot to go over it. I just need help on where to start. Perhaps you can give me an example? The problem is as follows: Simplify: (n+3)! / (n+1)! Thank you for your help. Click here to see answer by stanbon(57222)

 Question 65392: Find the sum of each geometric series described 1. asub1= 512 r=1/2 n=6 2. 3 + 6 + 12...+192 3. asub1= -2 asub5= -162 n=7 Click here to see answer by venugopalramana(3286)

 Question 65740: Another problem I need a little help with. Find the sum of the infinite geometric series if possible. -1+(1/4)-(1/16)+(1/64).... I multiplied by 4 and came up with 4s=-4+1-(1/4)+(1/16). What do I do next? Or maybe it's not possible to find the sum.....??? Thanks Click here to see answer by praseenakos@yahoo.com(507)

 Question 64566: Hi. I need help on how to solve the following problem. I've tried solving it many times but couldn't get the correct answer. Find the partial arithmetic sum of the second set of 100 even terms. (102-200) Click here to see answer by venugopalramana(3286)

 Question 65758: Please help me find the sum of this finite geometric series. 2+10+50+250+1250. So far I have a=2, r=5 and n=126. Using the formula Ssubn=(a(1-4^n))/1-r, I have Ssub126=(2(1-5^126))/1-5. This is where things get out of hand. On my calculator I come up with 5.877x10^87. This is supposed to add up to 1562. Click here to see answer by ptaylor(2048)

 Question 65876: Regarding question #65739. The one about the number of people when counting yourself through your great grandparents using 40 "greats". Since the number obtained is roughly 1000 times the number of people that have ever lived, this is absurd. There must be something wrong with the reasoning. What is it? Click here to see answer by Edwin McCravy(8880)

 Question 65997: here's the sequence/pattern: 1, -1, 2, -2, 3,.... how would u explain the pattern besides the fact that it goes in order and after the positive number you put the opposite of it?? or is that all?? or is some addition/subtraction involved?? Click here to see answer by Edwin McCravy(8880)

 Question 66130: the third and fourth terms of a sequence are 26 and 40. if the second differences are a constant 4, what are the first five terms of the sequence. Click here to see answer by josmiceli(9649)

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