Question

In a _______ each term is found by multiplying the previous term by a constant.

• A. geometric sequence
• B. arithmetic sequence
• C. geometric series
• D. harmonic sequence

Answer 1

The correct option is A geometric sequence

Sol:

We know that if a,b,c are in G.p then $b^2=ac$

We know that a G.P

$a,ar,a{r}^2.a{r}^3-----a{r}^n$

$a_1{,a}_2,a_3,a_4,----a_n$

$\frac{a_2}{a_1}=\frac{a_3}{a_2}=\frac{a_3}{a_3}----\frac{a_n}{a_{n-1}}=r$ (r=constant)

Therefore in a geometric progression each term is found multiplying the previous term by constant .