Question

A sequence can be generated by using an=an−1+2, where a1=8 and n is a whole number greater than 1.

Answer 1

The sequence an=an−1+2 is an arithmetic sequence

The first three terms in the sequence are (a) 8, 10, 12

How to determine the first three terms?

The sequence is given as:

an=an−1+2

Where:

a1 =8

Start by calculating a2 using:

a2=a1+2

This gives

a2=8+2 = 10

Calculate a3 using:

a3=a2+2

This gives

a3=10+2 = 12

So, we have:

a1 = 8, a2 = 10 and a3 = 12

Hence, the first three terms in the sequence are (a) 8, 10, 12

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