?
If the fifth term of a GP is 81 and first term is 16, what will be the 4th term of the GP?
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& {5^{th}}\,{\text{term}}\,{\text{of}}\,{\text{GP}} \cr
& = a{r^{5 - 1}} \cr
& = 16 \times {r^4} \cr
& = 81 \cr
& {\text{Or}},\,r = {\left( {\frac{{81}}{{16}}} \right)^{\frac{1}{4}}} = \frac{3}{2} \cr
& {4^{th}}\,{\text{term}}\,{\text{of}}\,{\text{GP}} \cr
& = a{r^{4 - 1}} \cr
& = 16 \times {\left( {\frac{3}{2}} \right)^3} \cr
& = 54 \cr} $$
Join the Discussion
Login to post a comment or share your explanation.
Login