Question

In the series 7, 14, 28, .., what will be the ${10}^{th}$ term?

• A. 1792
• B. 2456
• C. 3584
• D. 4096

Answer 1

The correct option is C 3584

Clearly, $7\times 2=14$, $14\times 2=28$, and so on.
So, the given series is a G.P. in which a = 7 and r = 2.
$\therefore {10}^{th}$ term ${ar}^{(10-1)}={ar}^9=7\times 2^9=7\times 512=3584$.
Hence, the answer is (C).