geometric progression

if the first and 8th term of a g.p.is x^-4 and x^52 and the second term is x^t then t:

  1. 👍 0
  2. 👎 0
  3. 👁 465
  1. seven steps and 56 powers of x
    ... so 8 powers per step

    t = -4 + 8

    1. 👍 0
    2. 👎 0
  2. given:
    a= x^-4
    ar^7 = x^52

    use substitution:
    (x^-4)r^7 = x^52
    r^7 = x^59
    r = x^(59/7)

    2nd term = ar
    = (x^-4)(x^59/7)
    = x^(31/7)

    matching it with x^t ---> t = 31/7

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    The sixth term of an A.P. is 5 times the first term and the eleventh term exceeds twice the fifth term by 3 . Find the 8th term ?

  2. geometric progression

    the 3rd term of a gpis 10 and the 6th term is 80 find the common ratio No2 if the 2nd term of a gp is 4 and the 5th term is 1over 16,the7th term is_

  3. maths

    if the 8th term of an AP is 37 and the 5th term is 15 more than the 12th term. find the AP. hence find the sum of the first 15 terms of the AP.

  4. Math

    the first term of a linear sequence is 3 and 8th term is 31 .find the common difference and hence find the 20th term

  1. maths

    the 8th term of an a.p is 37 and 12th term is 57 .find the a.p please help this questions .please help.

  2. maths

    The 8th term of an Ap is 5 times the 3rd while the 7th term is 9 greater than the fourth. Write the first five terms of the Ap

  3. Math

    The fifth term of an arithmetic progression is three times the second term,and the third term is 10.a)What is the first term,b)the common difference and c)the 15th term?

  4. Geometry

    The 8th term of a(GP) is 640. If the first term is 5, find the common ratio and the 10th term?

  1. FURTHER MATHS

    The 8th term of a linear sequence is 18 and 12th term is 26.find the first term,common difference and 20th term

  2. Maths (srithematic progression)

    If the 4th term of an A.P is twice the 8th term, prove that the 10th term is twice the 11th term.

  3. math

    The 3rd term of a geometric progression is nine times the first term.if the second term is one-twenty fourth the 5th term.find the 4th term. solution ar^2=9a r=sqr of 9 r=3.pls help me on how to get the first term(a)

  4. Mathematics

    If the 8th term of an AP is 36 and the 16th term is 68. Find: a) the first term b) the common difference c) The 20th term

You can view more similar questions or ask a new question.