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Find the 102nd term, given the first term and the common difference.

a) 1240
b) 1252
c) 1264
d) 1276

User Lamisha
by
7.4k points

1 Answer

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First term (52) plus (number of terms minus 1) multiplied by common difference (12) equals the 102nd term, which is 1264. Option D is the right choice.

Recognize the formula for an arithmetic series term:

The nth term of an arithmetic series (A) can be found using the formula:

An = A1 + (n - 1)d

where:

An is the nth term

A1 is the first term

n is the term number

d is the common difference

Plug in the given values:

We are given A1 = 52, n = 102, and d = 12:

A102 = 52 + (102 - 1) * 12

A102 = 52 + 101 * 12

A102 = 52 + 1212

A102 = 1264

The 102nd term of the arithmetic series is 1264.

Option D is the right choice.

Question:-

Find the 102nd term, given the first term and the common difference. A1 = 52 and d = 12.
a) 1240

b) 1252

c) 1264

d) 1276

User Usman Zafar
by
7.8k points
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