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Which explicit formula generates the infinite sequence 2, 9, 28, 65, 126, ...?
an = n2
an = n2 + 1
an = n3
an = n3 + 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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