Question

Find the first term of a sequence in which each term of the sequence is found by multiplying the previous term by $-3$ and the 8th term is $4374$.

• A. -0.222
• B. 0.667
• C. -2
• D. 6
• E. -18

Answer 1

Answer: (C)

-2

Let the first term be '$a$', then the $8^{th}$ term of the GP series is:
$\Rightarrow a.r^n=a(-3{)}^7=4374$

$\Rightarrow -2187a=4374$

$\Rightarrow a=-2$