Question

Let $t_1, t_2, t_3, \ldots, t_{2n}$ be in G.P. with common ratio $r$. Then:

• A. $t_1,t_3,t_5,\ldots,t_{2n-1}$ are in G.P. with common ratio $r$
• B. $t_1,t_4,t_7,\ldots,t_{2n-1}$ are in G.P. with common ratio $r^2$
• C. $t_1,t_3,t_5,\ldots,t_{2n-1}$ are in G.P. with common ratio $r^2$
• D. $t_2,t_4,t_6,\ldots,t_{2n}$ are in G.P. with common ratio $r^3$
• E. $t_2,t_4,t_6,\ldots,t_{2n}$ are in G.P. with common ratio $r^5$

Hint:

Skipping one term in G.P. multiplies power of $r$ by 2.

Answer 1

The Correct Option is C