Question

an ap has 7 terms then the 6th term is 9 more than 3 Rd term and the product of first and last term is 40 find AP
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Answer 1

Step-by-step explanation:

ATQ, a6 = a3 + 9

a + 5d = a + 2d + 9

3d = 9

d = 3

Also, a1×a7 = 40

a × a+6d = 40

a²+6ad = 40 (putting value of d = 3)

a²+6a(3) = 40

a²+18a = 40

a²+18a-40 = 0

a²+20a-2a-40=0

a(a+20)-2(a+20) = 0

(a+20) = 0 and (a-2) = 0

a = -20 and a = 2

If a = -20

-20, -17, -14....

If a = 2

2, 5, 8, 11....

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