find three terms of an ap whose sum is 3 and product is 8
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Answer:
I guess the product is -8..then
Step-by-step explanation:
Let a- d,a and a+d be three terms in an AP such that
a-d+a+a+d=3
or,3a=3
or,a=1
and,(a-d)a(a+d)=-8
or,(1-d)1(1+d)=-8
or,1-d^2=-8
or,1+8=d^2
or,9=d^2
or,d=±3
when a=1&d=3,
a-d=1-3=-2
a=1
a+d=1+3=4
when a=1 &d=-3
a-d=1+3=4
a=1
a+d=1-3=-2
Hence the numbers are -2,1,4 or 4,1,-2.
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