Question

Find a formula for the nth term of the arithmetic sequence: –2, –8, –14, –20, .....

Answer 1

Answer:

6 +

Step-by-step explanation:

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Answer 2

Formula for the nth term = an = -2 + (n-1) * -6

Given:

–2, –8, –14, –20, .....is an arithmetic progression

To find:

Formula for the nth term

Solution:

The nth term of an arithmetic sequence can be found using the formula:

an = a1 + (n-1)d

where:

a1 is the first term of the sequence

d is the common difference between consecutive terms

n is the position of the term in the sequence

In this case:

a1 = –2

d = –8 – (–2) = –6

so the formula for the nth term would be:

an = -2 + (n-1) * -6

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