Question
Which term of the A.P 2, 7, 12, 17, …. is 87 ?
Answer: Option A
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An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.
Formula:
The nth term of an arithmetic progression (A.P) can be expressed as:
a_n = a_1 + (n-1)d
Where,
a_n = nth term
a_1 = First term
d = Common difference
Given:
A.P = 2, 7, 12, 17, ….
Therefore,
a_1 = 2
d = 5
We are required to find the 18th term.
a_18 = 2 + (18-1)5
a_18 = 87
Hence, the 18th term of the given arithmetic sequence is 87.
Therefore, option A is correct.
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