Question

First term and common difference of an A.P.are12 and4 respectively.If tn=96,find n.

Answer 1

In an A.P.

a=12 and d= 4 also tn=96

By using Formula ,

tn = a+(n-1)(d)

96=12+(n-1)(4)

96= 12+ 4n-4

96= 12-4+4n

96= 8+4n

96-8=4n

88=4n

n=88/4

therefore, n= 22......Ans