Question

find the 7th term of the series 6,12,24,....?

Answer 1

Hi friend!!

The given series is in geometric progression.

First term (a)=6

common ratio(r) =12/6=2

We know that

7th term = a× r^(7-1)

=a×r^6

=6×(2)^6

=384

I hope this will help you ;)

Answer 2

Answer:

the 7th term of the series 6,12,24,.... is 384

Step-by-step explanation:

• First term (a) = 6

• Common ratio (r) = 12÷6 = 2

• As the given series is in geometric progression,

      we know that, 7th term = $a^{}$×$r^{7-1}$ = $ar^{6}$= 6×(2)^6 = 384

• The general form of terms of a Geometric Progression Formulas is

       a, ar, a$r^{2}$, a$r^{3}$, and so on.

       Here, a is the first term and r is the common ratio.

• The nth term of a Geometric Progression Formulas is $T_{n}$ = $ar^{n-1}$
• Common ratio = r = $T_{n}$/ $T_{n-1}$