What is the sum of the terms of the geometric sequence 2, 6, 18, 54, ...?

Question

What is the sum of the terms of the geometric sequence 2, 6, 18, 54, ... ?

Answer 1

If this is an infinite geometric series (no fixed number of terms), then the sum is infinite as the magnitude of the rate of increase r = 3 (each term is 3 times the preceding term) exceeds 1, so the sequence will never converge on a limiting value.