Question

If their are 50 tetms of which 3 term is 12 and last term is 106 find the 29 term of ap

Answer 1

n=50, a=?, d=?
a3=12
a3= a+2d=12---------------(1)

a50= a+49d=106---------(2)

eliminating two equations,
a+2d=12
a+49d=106
-------------------
- - -
-47d = - 94
cancelling minus on both sides,we get
d = 94/47=2

putting value of d in eq 1
a+2(2)=12
a= 12-4
a=8

a29= a+ 28d
8+ 28(2)
8+ 56= 64


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