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

To find the third term of a geometric sequence, we can use the formula for the nth term of a geometric sequence, which is:

a_n = a₁ × r^(n-1)

Where:

• a_n is the nth term of the sequence.
• a₁ is the first term of the sequence.
• r is the common ratio.
• n is the term number.

In this case, the first term a₁ is 3 and the common ratio r is also 3. We are looking for the third term, so we set n = 3.

Now we can substitute the values into the formula:

a₃ = 3 × 3^(3-1)

Calculating this step by step:

1. a₃ = 3 × 3²
2. a₃ = 3 × 9
3. a₃ = 27

Therefore, the third term of the sequence is 27.