Question

lf the sum of first three consigetive term of Ap​

Answer 1

Answer:

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Answer 2

Answer:

Let the three terms in A.P. be a−d,a,a+d.

Sum of the three terms = 3a = 51

⇒ a=17

Product of first and third term is (a−d)(a+d)

⇒ a

2

−d

2

=273

⇒ 289−d

2

=273

⇒ d

2

=16

d takes positive value as it is an increasing A.P.

⇒ d=4

⇒ Third term = a+d=17+4=21

⇒ Third term = 21

∴ Option C is correct.