Question

which term of the series -3,-1,-5....is 53?
a)13 b)12 c)14 d)15
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Answer 1

The term 53 is the 29th term.

Step-by-step explanation:

The nth term of an AP is:

$T_{n}=a+(n-1)d$

The first term is, a = -3.

Common difference, d = 2

Compute the value of n if the nth term is 53 as follows:

$T_{n}=a+(n-1)d\\53=-3+(n-1)(2)\\56=2(n-1)\\n-1=28\\n=29$

Thus, the term 53 is the 29th term.