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4. Given the recursive rule below, obtain the seventh term of the arithmetic sequence.

4. Given the recursive rule below, obtain the seventh term of the arithmetic sequence-example-1

1 Answer

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ANSWER

a(7) = 10.4

Step-by-step explanation

We have the recursive rule given:

a(n) = a(n-1) + 1.4

The first term, a, is 2.

The general form of a recursive rule is:

a(n) = a(n-1) + d

where d = common difference

So, the common difference of the arithmetic sequence is 1.4

The nth term of an arithmetic sequence is given by:

a(n) = a + (n - 1)d

Therefore, the 7th term is:

a(7) = 2 + (7 - 1) * 1.4

a(7) = 2 + (6 * 1.4) = 2 + 8.4

a(7) = 10.4

That is the seventh term.

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