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Let the required term of the given of the given AP be a-d,a and a+d Where the first term is a-d The common difference = d Given: the sum of three parts =24 Therefore, (a-d)+(a)+(a+d) = 24 3a = 24 a = 8 Given : the product of these three terms = 440 Therefore, (a-d)(a)(a+d) =440 (8-d)(8)(8+d) = 440 -8dsquare + 512 = 440 -8dsquare = 440-512 -8d square = -72 d square = 72/8 d square = 9 d = 3 So, the three required terms of AP is 8-3 = 5 ; 8 and 8+3 = 11 Three terms are 5,8 and 11
Answers & Comments
Where the first term is a-d
The common difference = d
Given: the sum of three parts =24
Therefore, (a-d)+(a)+(a+d) = 24
3a = 24
a = 8
Given : the product of these three terms = 440
Therefore, (a-d)(a)(a+d) =440
(8-d)(8)(8+d) = 440
-8dsquare + 512 = 440
-8dsquare = 440-512
-8d square = -72
d square = 72/8
d square = 9
d = 3
So, the three required terms of AP is 8-3 = 5 ; 8 and 8+3 = 11 Three terms are 5,8 and 11