Multiple choice

What will be the 10th term in the sequence 2, 4, 8, 16?

  1. 512

  2. 1024

  3. 2048

  4. 4096

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sequence is a geometric progression with first term a = 2 and common ratio r = 2. The n-th term is a * r^(n-1). For n = 10, the term is 2 * 2^9 = 2^10 = 1024.

AI explanation

The given sequence is a geometric progression with the first term a equal to 2 and the common ratio r equal to 2. We use the formula for the nth term of a geometric progression, Tn = a multiplied by r raised to the power of (n - 1). Substituting the values gives the 10th term as 2 multiplied by 2 raised to the power of 9, which equals 2 multiplied by 512, resulting in 1024.