the product of three terms of an ap is 1620 and their sum is 36 find the AP
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Think that the first three terms are x, y, z and do
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ap roots are (a+d),a,a-d
a+d+a+a-d= 36
3a=36
a=12
(a+d)(a)(a-d)=1620
(12+d)(12)(12-d)=1620
(12+d)(12-d)=135
12^2 -d^2=135
-d^2 =-9
d=3
a+d =12+3=15,a=12,a-d=12-3=9
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