Find four consecutive terms in an ap whose sum is 88 and the sum of first and the third term is 40
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Answer: 16 , 20 , 24 , 28
Step-by-step explanation:
let the terms be (a-3d), (a-d), (a+d) and (a+3d)
sum = 88 = a-3d+a-d+a+d+a+3d ⇒ 4a = 88
= a = 22
a-3d + a+d = 40
= 2a-2d = 40
= a-d = 20
= 22-d = 20 ⇒ d = 2
numbers = (22-6)(22-2)(22+2)(22+6) = 16 , 20 , 24 , 28
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