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# What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …

**Solution:**

A sequence in which the difference between all pairs of consecutive numbers is equal is called an arithmetic progression.

The sequence given is 3, 9, 15, 21, 27, …

Here a1 = 3

d = 9 - 3 = 6

The formula to find the nth term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

Substituting the values

a_{n} = 3 + (n - 1)6

We have to find the 25th term n = 25

a_{25} = 3 + (25 - 1)6

a_{25} = 3 + (24)6

a_{25 }= 3 + 144

a_{25} = 147

Therefore, the 25th term is 147.

## What is the 25th term of this arithmetic sequence? 3, 9, 15, 21, 27, …

**Summary:**

The 25th term of this arithmetic sequence 3, 9, 15, 21, 27, … is 147.

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