Math, asked by mandeepkaurR, 1 year ago

the 8th term of an A.P is equal to three times its third term.if its 6th term is 22, find the a.p

Answers

Answered by TPS
103
let the first term be a 
common difference = d

8th term is 3 times the 3rd term
(a+7d) = 3×(a+2d)
⇒ a + 7d = 3a + 6d
⇒ 7d - 6d = 3a -a
⇒d = 2a

6th term = 22
⇒a + 5d = 22
⇒a + 5×2a = 22
⇒ 11a = 22
⇒a = 22/11 = 2
d = 2a = 2×2 = 4

So first term is 2 and common difference is 4.
So the AP is 2,6,10,14,18....
Answered by Anonymous
4

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