math

the second term of geometric sequence is 6 and the fifth term is _48. find also, in simplified form, of the first n terms of this sequence.

  1. 👍 0
  2. 👎 0
  3. 👁 76
asked by Watson
  1. what is the answer

    1. 👍 0
    2. 👎 0
    posted by Watson
  2. r^(5 - 2) = 48 / 6 ... r^3 = 8 ... r = 2

    An = 3 * 2^(n-1)

    1. 👍 0
    2. 👎 0
    posted by R_Scott
  3. Just use your definitions:
    "the second term of geometric sequence is 6" ----> ar = 6
    "the fifth term is - 48" ---> ar^4 = -48

    divide them:
    (ar^4)/(ar) = -48/6
    solve for r, since the a's will divide out
    then plug that back into ar=6

    sub into the formula for the sum of n terms.
    let me know what you get

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra1

    Which of the following functions represents a geometric sequence? Why? Answer Choices The function f(x)=x7 represents a geometric sequence because each term is raised to the seventh power to make it greater. The function f(x)=7x

    asked by miyah on October 9, 2017
  2. Algebra

    I am so lost on these problems. Write a geometric sequence that starts with 3 and has a common ratio of 5. What is the 23rd term in the sequence. Write an arithmetic sequence that has a common difference of 4 and the eighth term

    asked by Randy on June 17, 2016
  3. Math

    1. What is the tenth term of the geometric sequence whose first term (a1) is 16 and the common ratio (r) is –½? 2. Given the terms a10 = 3 / 512 and a15 = 3 / 16384 of a geometric sequence, find the exact value of the first

    asked by Jade on June 18, 2014
  4. Math *URGENT

    Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 3. Determine

    asked by Aliza on December 20, 2012
  5. Math

    1. Find the 11th term of the geometric sequence 64, -32, 16, -8, … . 2. Find the 1st term of a geometric sequence with a 10th term -1024 and r = -2. 3. Find the sum of each infinite geometric series, if possible. a. 10 + 2 + 2/5

    asked by Brianna on October 7, 2014
  6. Sj

    Mathematics......Under number patterns-Geometric series If a question goes.determine the expression for the nth term of the following sequence if the a) 4th term is 24 and the 7th term is 192 in a geometric sequence.what formula

    asked by Mahlogonolo on July 16, 2015
  7. Math

    A sequence is formed by adding together the corresponding terms of a geometric sequence and and an arithmetic sequence.The common ratio of the geometric sequence is 2 and the common difference of the arithmetic sequence is 2.The

    asked by Piwo on April 12, 2012
  8. algebra

    1. The geometric mean between the first two terms in a geometric sequence is 32. If the third term is 4, find the first term. 2. Insert a geometric mean between k and 1/k. 3. If 2 and 3 are two geometric means between m and n,

    asked by sylvia on July 16, 2016
  9. Math

    3,5,-5... The first term in the sequence of #'s shown above is 3. Each even # term is 2 more than the previous term and each odd # term, after the first, is -1 times the previous term. For example, the second term is 3+2, and the

    asked by Mack on May 20, 2007
  10. Maths

    1..The first 2 terms of a geometric progression are the same as the first two terms of an arithmetic progression.The first term is 12 and is greater than the second term.The sum of the first 3 terms od the arithmetic progression

    asked by Lucas on February 3, 2013

More Similar Questions