The sum of third and seventh term of an AP is 6 and the product is 8. Find the first term and common difference
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Step-by-step explanation:
3rd term =a+2d. -1
7th term =a+6d -2
Adding 1and 2
2a+8d=6
2(a+4d}=6
a+4d=3. -3rd equation. a+2d=3-2d
{a+2d}{a+4d+2d}=8
{a+2d}{3+2d}=8
{3-2d}{3+2d}=8
3^2-4d^2=8
-4d^2=-1
d^2=1/4
d=1/2
a+4×1/2=3
a+2=3
a=3-2=1
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