What is the 12th term of the sequence 3, 6, 12, 24

Solution:

Given sequence is 3, 6, 12, 24,..

This is a geometric sequence because,

Common ratio, r = 6/3 = 2, r = 12/6 = 2,...

The general term, a_n = ar^{n - 1}

Given n = 12, substituting in the general term,

a_n = ar^{n - 1}

a₁₂ = 3 (2)^{12 - 1}

a₁₂ = 3 (2)¹¹

a₁₂ = 6144

What is the 12th term of the sequence 3, 6, 12, 24

Summary:

The 12th term of the sequence 3, 6, 12, 24,.. is a₁₂ = 6144.