Question

find the 5th term of G. P 64,16,4.....​

Answer 1

Answer:

MARK IT AS BRAINLIEST...

...

Answer 2

The 5th term of G. P., $a_{5}$ = $\dfrac{1}{4}$

Step-by-step explanation:

The given GP are:

64, 16, 4, .....​

To find, the 5th term of G. P. = ?

Here, first term (a) = 64, common ratio (r) = $\dfrac{16}{64} =\dfrac{1}{4}$ and number of terms (n) = 5

We know that,

The nth term of G. P.,

$a_{n} =ar^{n-1}$

∴ The 5th term of G. P.,

$a_{5} =(64)(\dfrac{1}{4} )^{5-1}$

⇒ $a_{5} =(64)(\dfrac{1}{4} )^{4}$

⇒ $a_{5}$ =$(4^3)\dfrac{1}{4^4}$

⇒ $a_{5}$ = $\dfrac{1}{4^{4-3}}$

⇒ $a_{5}$ = $\dfrac{1}{4}$

∴ The 5th term of G. P., $a_{5}$ = $\dfrac{1}{4}$