Multiple choice

Find the 5th term of the sequence $1, \sqrt{2}, 2...$

  1. 1

  2. 2

  3. 3

  4. 4
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D Correct answer
AI explanation

The given sequence is a geometric progression where the first term is 1 and the common ratio is the square root of 2. Using the geometric sequence formula for the nth term, a_n = a * r^(n-1), we substitute the known values for the fifth term to get 1 * (sqrt(2))^(5-1). This simplifies to (sqrt(2))^4, which equals 4.

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