Question

Find the nth term of the geometric sequence.When given,r is the common ratio.

7, 14, 28, 56, ....

Answer 1

Step 1 :

n^th term of a geometric sequence :

The n^th term of a geometric sequence is .

Where is the first term and r  is the common ratio.

Step 2 :

The sequence is

The first term is .

The second term is .

The common ratio is .

Substitute and in above equation.

The common ratio is .

Step 3 :

The n^th term of a geometric sequence is

Substitute and in above equation.

The n^th term of a geometric sequence is .

Solution : 

The n^th term of a geometric sequence is .