GP - negative term

The first term of a GP is -3 and the square of the second term is equal to its 4th term. Find the 7th term of the GP.

Correct answer:

g7 =  -2187

Step-by-step explanation:

g1=3 g22 = g4 g4 = q2 g2  g22 = q2 g2 g2 = q2 g2 = q g1  q2 = q   (3)  q=3  g7=g1 q6=(3) (3)6=2187   Verifying Solution:  g2=q g1=(3) (3)=9 g3=q g2=(3) 9=27 g4=q g3=(3) (27)=81 g5=q g4=(3) 81=243 g6=q g5=(3) (243)=729



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