Question

Which explicit formula is equivalent to a1= 1/3, an=an-1+1

Answer 1

The explicit rule will be an = 1/3 + (n - 1)

An explicit formula for a sequence

Given the following information

• a1 = 1/3
• an = an-1 + 1

a2 = a1 + 1

a2 = 4/3

For the third term

a3 = a2 + 1

a3 = 4/3 + 1

a3 = 7/3

The resulting seqence is 1/3, 4/3, 7/3

The sequence is an arithmetic sequence

a = 1/3

d = 1

The explicit rule will be an = 1/3 + (n - 1)

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