Question

4. Which of the following are APs ? If they form an AP, find the common difference d and write three more terms
2,5/3,3,7/2

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Answer 1

Answer:

a2 - a1 = 5/2 - 2 = 1/2

a3 - a2 = 3 - 5/2 = 1/2

a4 - a3 = 7/2 - 3 = 1/2

⇒ an+1 - an is same every time.

Therefore, d = 1/2 and the given numbers are in A.P.

Three more terms are

a5 = 7/2 + 1/2 = 4

a6 = 4 + 1/2 = 9/2

a7 = 9/2 + 1/2 = 5

Answer 2

Answer:

) It is not in AP, as the difference between consecutive terms is different.

(ii) It is in AP with common difference d=

2

5

−2=

2

1

,

t

n

=a+(n−1)d

a=2

t

5

=2+(5−1)

2

1

Next three terms are 4,

2

9

,5