Question

Which term of the A. P. -4, -1, 2, ........ is 101 ?

Answer 1

a= -4

d=3

tn= 101

tn=a+(n-1)d

101=-4+(n-1)3

101+4=(n-1)3

105=(n-1)3

105/3=(n-1)

35=n-1

n=36.

therefore 36th term is 101.
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Answer 2

a= -4

d= -1+4=3

an=101

an=a+(n-1)d

101 = -4+(n-1)×3

105=(n-1) 3

35=(n-1)

n=36

Therefore , 101 is the 36th term of the ap

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