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# Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126, ...?

a_{n} = n^{2}

a_{n} = n^{2} + 1

a_{n} = n^{3}

a_{n} = n^{3} + 1

**Solution:**

The explicit formula which generates the infinite __sequence__ 2, 9, 28, 65, 126, ….

2 can be expressed as (1)³ + 1

9 can be expressed as (2)³ + 1

28 can be expressed as (3)³ + 1

65 can be expressed as (4)³ + 1

126 can be expressed as (5)³ + 1

The next term would be (6)³ + l = 217

The explicit formula that generates the given sequence is n³ + 1.

## Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126, ...?

**Summary:**

The explicit formula generates the infinite sequence 2, 9, 28, 65, 126, .. is n³ + 1.

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