Question

If the sum of the three consecutive terms of AP.is 48 and the product of the first and the last is 252, then d = ......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.(All the problems refer to A.P.)
(a) 2
(b) 3
(c) 4
(d) 16

Answer 1

Let (a - d) , d , (a + d) are three consecutive terms in an AP.
A/C to question,
sum of three terms = 48
(a - d) + d + (a + d) = 48
3a = 48
a = 16 ......(i)

again, A/C to question,
product of first and last term = 252
(a - d) × (a + d) = 252
a² - d² = 252
from eq. (i),
(16)² - d² = 252
256 - 252 = d²
4 = d²
d = ± 2
here d = 2 or -2
hence, option (a) is correct.

Answer 2

Answer:

option a is correct answer