Question

find the three consective terms of AP whose sums is 21 and their product is 231​

Answer 1

Let the required numbers be (a−d),a,(a+d).

Then,

a−d+a+a+d=21

3a=21

a=7

Also,

(a−d)a(a+d)=231

a(a^2-d^2)=231

d^2 =16

d=±4

Hence, the required numbers are (3,7,11) or (11,7,3).