1.

Find four consecutive terms in an A.P. whose sum is 36 and the product of the 2nand the 4th is 105. The terms are in ascending order. answer​

Answer»

Step-by-step explanation:

Let a-2d,a-d,a,a+d,a+2d be the AP

a-2d + a-d + a+d + a+2d = 36

=> 4A = 36

=> a = 9

(a-d)(a+2d) = 105

=> (9-d)(9+2d) = 105

=> 9(9+2d) - d(9+2d) = 105

=> 81 + 18D - 9D - 2d^2 = 105

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