The first four terms in a sequence are shown below. What is the sixth term in the sequence?

{3, 6, 11, 18, …}

{3, 6, 11, 18, …}

The first four terms in a sequence are shown below. What is the sixth term in the sequence?

{3, 6, 11, 18, …}

{3, 6, 11, 18, …}

Detailed Explanation

Begin by examining the sequence for a pattern. In order to go from 3 to 6, 3 must be added; moving from 6 to 11 requires 5 to be added; moving from 11 to 18 requires 7 to be added. The pattern emerges here—adding by consecutive odd integers.

The 5th term is equal to 18 + 9 = 27, and the 6th term is equal to 27 + 11 = 38.

The 5th term is equal to 18 + 9 = 27, and the 6th term is equal to 27 + 11 = 38.