Q. 4 L4.5( 15 Votes )

# Which of the following are APs? If they form an AP, find the common difference d and write three more terms.√2, √8, √18, √32

He above series can be re written as

√2, √8, √18, √32

√2, √(22 × 2), √(32 × 2), √(42 × 2)

√2, 2√2, 3√2, 4√2,…..

For a series to be in AP, the common difference (d) should be

Equal.

d1 = second term – first term = 2√2 – √2 = √2

d2 = Third term - Second term = 3√2 – 2√2 =

Since common difference is same the above series is in AP.

The next three terms will be the 5th, 6th, 7th.

5th term will be given by

a + (5-1)d = a + 4d = √2+ 4(√2) = 5√2 = √50

6th term is a + (6-1)d = a + 5d = √2 + 5(√2) = 6√2 = √72

7th term is a + (7-1)d = a + 6d = √2 + 6(√2) = 7√2 = √98.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Arithmetic Progression34 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses