Question

the sum of the three consecutive terms in A P is 108 and the product of first and third term is 972 than find out three terms in A P​

Answer 1

Answer:

21 is the answer I hope this is helpful

Step-by-step explanation:

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