Question

(i) Find the seventh term of the G.P. is 3, 6, 12, …​

Answer 1

Answer:

seventh term of AP is a + 6d = a7

=> 3 + 6×3 = 21 { d= a2-a1= 6-3=3}

Answer 2

The seventh term of the G.P. is "192".

Step-by-step explanation:

The given sequence are:

3, 6, 12, …​ in GP.

To find, the seventh term of the G.P.$(a_{7})$ = ?

Here, first term(a) = 3, common ratio(r) = $\dfrac{6}{3} =2$

We know that,

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

The seventh term of the G.P. ,

$a_{7} =3(2)^{7-1}$

⇒ $a_{7} =3(2)^{6}=3\times 64=192$

Hence, the seventh term of the G.P. is "192".