maths

1*2 +2*(2^2)+2*(2^3)............+100*(2^100)
Find the sum of series.

  1. 👍 0
  2. 👎 0
  3. 👁 143
  1. 1+x+x^2+...+x^n = (x^(n+1)-1)/(x-1)

    Now I think the beginning of your sequence should be

    2*2^0 + 2*2^1 + 2*2^2 + ...

    In that case, the sum is 2*(2^101-1)/(2-1)

    1. 👍 0
    2. 👎 0
    posted by Steve
  2. On the other hand, there could be only one typo and the series is

    1(2^1) + 2(2^2) + 3(2^3 + ... + 100(2^100)

    In that case you have a hypergeometric series ...

    1. 👍 0
    2. 👎 0
    posted by Reiny
  3. I think I gotta go with Reiny. My answer is bogus because of the 100*2^100.

    What was I thinking?

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. statistics

    A professional basketball player has embarked on a program to study his ability to shoot foul shots. On each day in which a game is not scheduled, he intends to shoot 100 foul shots. He maintains records over a period of 40 days

    asked by MBAhopeful on October 3, 2009
  2. Math

    An arithmetic series has first term -50 and common difference 4. How many terms are in the series so that the sum of the series first exceeds 100?

    asked by Lucas on November 24, 2017
  3. Math

    4) The sum of an infinite geometric series is 100. The second term of the series is 24. Find two possibilities for a (the first term) and r (the common ratio). b. Given, 5 2 4 a a a    159 and 4 1 3 a a a   

    asked by Susan on September 21, 2016
  4. Problem Solving Math Question

    Find the sum of all the numbers in the following array: 1 2 3 4 5 6........100 2 4 6 8 10 12 ......200 3 6 9 12 15 18 ......300 . . . 100 200 300 400 500 600 . . . 100(x)100 Can anyone help me?? I'll suggest how to solve this, but

    asked by Krisy on August 27, 2006
  5. college precalculus

    find the sum of the infinite geometric series 1/3^6+1/3^8+1/3^10+1/3^12........ -100/9+10/3-1+3/10

    asked by fred on May 1, 2015
  6. math

    the "k"th term of a series, Sk=a 1-r^k/1-r, is the sum of the first "k" terms of the underlying sequence. the difference between the "n"th terms of two particular series is greater than 14 for some values of n (is an element of)

    asked by liza on December 29, 2010
  7. math help, correction

    Anna has 12 bills in her wallet, some $5 and some $10. The total value of the bills is $100. HOw many of each bill odes Anna have? How do i solve these type of problems my quess was this but i don't know if i'm correct. 5(x) +

    asked by jasmine20 on January 11, 2007
  8. Precalculus

    Find the sum of 20 (summation notation symbol)k=1 then (3k-5) If you mean the sum of the first 20 terms, beginning with k=1, of ak = 3k - 5, that would be -20 x 5 = -100 PLUS the sum of the first 20 terms of ak = 3k The latter is

    asked by Laura on June 16, 2007
  9. Discrete mathematics

    I need help solving this problem, I have followed the sequence forward and backwards but can't seem to find the solution. I believe it's the pigeon hole theorem. Here's the problem; Let A be any set of twenty integers chosen from

    asked by Lolita on June 22, 2005
  10. Math

    the sum of the first n terms of an arithmetic series is -51. the series has a constant difference of -1.5 and a first term of four. Find the number of terms in the sum I find using an EXCEL spreadsheet is very helpful for these

    asked by BEANAGEE on December 21, 2006

More Similar Questions