p, q and r are three consecutive terms of an AP. Express p and r in terms of q and d, where d is the common difference. if the sum of the terms is 21 and p=6r, Find p, q and r.
Answers
Answered by
3
Given:
p, q and r in AP.
q - p = d
p = q - d ——> 1
r - q = d
r = q + d ——> 2
p + q + r = 21
From 1 & 2,
q - d + q + q + d = 21
3q = 21
q = 7 ——> 3
p + 7 + r = 21
p + r = 14
p = 6r
6r + r = 14
7r = 14
r = 2 ——> 4
p = 6r = 6*2 = 12 ——> 5
p, q and r in AP.
q - p = d
p = q - d ——> 1
r - q = d
r = q + d ——> 2
p + q + r = 21
From 1 & 2,
q - d + q + q + d = 21
3q = 21
q = 7 ——> 3
p + 7 + r = 21
p + r = 14
p = 6r
6r + r = 14
7r = 14
r = 2 ——> 4
p = 6r = 6*2 = 12 ——> 5
Similar questions