Question

find the 7th term of the sequence

Answer 1

Answer:

-3

Step-by-step explanation:

Let the series of G.P be:

$a, ar, ar^2 , ar^3, ar^4, ar^5, ar^6$           [ Till 7 terms ]

Given: 3rd term is -3, so:    $ar^2 = -3$          ------------ (1)

Given: Sum of 4th and 5th terms is -6:     $ar^3 + ar^4 = -6$        --------- (2)

$ar^3 = (ar^2) (r)\\\\ar^4 = (ar^2)(r^2)$

So:    $-3r - 3r^2 = -6$  

          $r + r^2 = 2$

So, r = 1

a = -3

Seventh term: $ar^6 = -3$