Question

Find three terms of an AP whose sum is 24 and product is 504

Answer 1

Let the numbers be a-d, a and a+d

According to first condition,

a - d + a + a + d = 24

=> 3a = 24

=> a = 8


According to second condition,

( a - d) (a) (a +d) = 504

=> a ( a^2 - d^2) = 504

=> 8 [ (8)^2 - (d)^2] = 504

=> 64 - d^2 = 63

=> d^2 = 1

=> d = 1

First number = 8 - 1 = 7

Second number = 8

Third number = 8 +1 = 9

Answer 2

Answer:

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