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

Answer :

He above series can be re written as

√2, √8, √18, √32

⇒ √2, √(2^{2} × 2), √(3^{2} × 2), √(4^{2} × 2)

√2, 2√2, 3√2, 4√2,…..

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

Equal.

d_{1} = second term – first term = 2√2 – √2 = √2

d_{2} = 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 5^{th}, 6^{th}, 7^{th}.

5^{th} term will be given by

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

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

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

Rate this question :

Which of the following are APs? If they form an AP, find the common difference d and write three more terms.

, , …..

AP- MathematicsFill in the blanks in the following table, given that a is the first term, d the common difference and the nth term of the AP:

AP- Mathematics

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

AP- MathematicsWhich of the following are APs? If they form an AP, find the common difference d and write three more terms.

a, 2a, 3a, 4a..

AP- Mathematicsa, a^{2}, a^{3}, a^{4}