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.
The general term of any geometric progression = a rn - 1
Given that, a = 1st 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 An = a rn - 1
⇒ An = a rn - 1
⇒ A3 = 3 × 3(3 - 1) ⇒ 3 × 32 = 27
You can use the online Geometric sequence calculator to calculate the terms.