UPSC NDA Math Model Paper 2

Given: x, 2x + 2, 3x + 3 are the first three terms of a geometric progression than

2x+2

x

=

3x+3

2x+2

2x+2

x

=

3

2

4x+4=3x⇒x=−4=a
r=

c

b

=

3x+3

2x+2

=

3

2

4th term in the geometric progression is T4=arn−1
T4=(−4){

3

2

}4−1=−13.5
Hence, option A is the correct answer.