The 3rd term of an AP is 4 more then twice the 1st term and 8th term is 4 less then thrice the 3rd term find the 5th term of the AP
Answers
Answered by
1
1n ap series are a, a+d,a+2d,a+3d,a+4d( respectvely 1st 2nd 3rd terms) a be 1 st term and d be common difference..
using condition
a+2d=2a+4 or 2d-a=4 also
a+7d=3(a+2d)-4 0r d-2a=-4 solve these equation multiply eq 2 by 2 and subtracting 1 from 2 we get 3a=12 hence a=4 putting a in any eq you get d=4
hence 5th term= a+4d=4+4*4=20
using condition
a+2d=2a+4 or 2d-a=4 also
a+7d=3(a+2d)-4 0r d-2a=-4 solve these equation multiply eq 2 by 2 and subtracting 1 from 2 we get 3a=12 hence a=4 putting a in any eq you get d=4
hence 5th term= a+4d=4+4*4=20
Similar questions