# What is the third term of a sequence that has the first term of 3 and a common ratio of 3?

When the ratio between any two consecutive terms in a sequence is the same, it is called a geometric progression.

## Answer: The third term of a geometric progression with first term 3 and common ratio 3 is 27.

Go through the step-by-step solution to find the third term.

**Explanation:**

The general term of any geometric progression = a r^{n - 1}

Given that, a = 1^{st} term = 3, r = 3, n = Number of terms = 3

The nth term of geometric progression with common ratio r can be calculated using the formula a r^{n - 1}

⇒ n^{th} term = a r^{n - 1}

⇒ 3^{rd} term = 3 × 3^{(3 - 1)} = 3 × 3^{2 }= 27

You can use the online Geometric sequence calculator to calculate the terms.

### Thus, the third term of a geometric progression with first term 3 and common ratio 3 is 27.

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