Question

which term of the AP - 4,-1,2,... is 101 ?

Answer 1

Answer:

36th

Step-by-step explanation:

d = 3

101 = -4 + (n-1)3

105 = (n-1)3

n-1 = 35

n = 36

101 is the 36th term of the given AP

Answer 2

Answer:

101 will be the 36th term of the Arithmetic Progression.

Step-by-step explanation:

The first term is, a = -4

The common difference will be, d = -1 - (-4) = 3

The nth term of an arithmetic progression is given by the formula,

Tₙ = a + (n-1)d

=> 101 = -4 + (n-1)3

=> (n-1)3 = 105

=> n - 1 = 35

=> n = 36

Hence 101 will be the 36th term of the Arithmetic Progression.

I hope this solution helps you. Please feel free to ask any doubts in the comment section.