Question

Find the sum of the first five terms of the GP with first term 3 and common ratio 2.​

Answer 1

Question

Find the sum of the first five terms of the GP with first term 3 and common ratio 2.

Solution

Given :-

• First terms of G.P. (a) = 3
• Common ratio of G.P. (r) = 2

Find :-

• First Five term of G.P.

Explanation

We know,

★ Nth terms of G.P. = ar^(n-1)

Where,

• a = First terms
• r = common ratio
• n = number of terms

For Second terms

==> 2th terms be = 3 * 2^(2-1)

==> 2th terms be = 3 * 2¹

==> 2th terms be = 6

________________________

For third terms

==> 3th terms be = 3 * 2 ^(3-1)

==> 3th terms be = 3 * 2²

==> 3th terms be = 3 * 4

==> 3th terms be = 12

________________________

For forth terms

==> 4th terms be = 3 * 2^(4-1)

==> 4th terms be = 3 * 2³

==> 4th terms be = 3 * 8

==> 4th terms be = 24

_________________________

For fifth terms

==> 5th terms be = 3 * 2^(5-1)

==> 5th terms be = 3 * 2⁴

==> 5th terms be = 3 * 16

==> 5th terms be = 48

_________________________

So, All terms of G.P. will be

• 3 , 6 , 12 , 24 , 48 ..............

__________________