Question

Find the first term of a G.P. in which S6 = 4095 and r = 4 ​

Answer 1

Step-by-step explanation:

s6 =ar6-1

4095 = a4(5)

4095 =a20

4095/20=a

Answer 2

The first term is 3.

Step-by-step explanation:

Given : A G.P. in which $S_6 = 4095$ and r = 4.

To find : The first term ?

Solution :

The sum formula of a G.P is $S_n=\frac{a(r^n-1)}{r-1}$

Here, $S_n=4095$ , n=6 and r=2

Substitute all,

$4095=\frac{a(4^6-1)}{4-1}$

$4095=\frac{a(4096-1)}{3}$

$4095=\frac{a(4095)}{3}$

$a=\frac{4095\times 3}{4095}$

$a=3$

Therefore, the first term is 3.

#Learn more

In a G.p first term is 4 and third term is 144 find the G.p and the sum of first four term?

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