Ask Question
2 January, 10:36

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are - 6 and 162, respectively.

+1
Answers (1)
  1. 2 January, 11:41
    0
    Hello,

    a (2) = - 6

    a (3) = - 6*r

    a (4) = - 6*r²

    a (5) = - 6*r^3=162

    a (5) / a (2) = r^3=162 / (-6) = - 27==>r=-3

    a (1) = - 6 / (-3) = 2

    a (2) = 2 * (-3)

    a (3) = 2 * (-3) ²

    a (4) = 2 * (-3) ^3

    a (5) = 2 * (-3) ^4

    a (n) = 2 * (-3) ^ (n-1)

    Answer
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are - 6 and 162, respectively. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers