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2 years ago

determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.17, 14, 11, 8,

Mathematics

1 answer:

MArishka [77]2 years ago

6 0

The common difference of the sequence is -3 and the fifth term is 5

<h3>How to determine the common difference?</h3>

The sequence is given as:

17, 14, 11, 8....

The common difference is

d = T2 - T1

So, we have

d = 14 - 17

Evaluate

d = -3

Hence, the common difference of the sequence is -3

<h3>How to determine the fifth term?</h3>

The fifth term is calculated as:

T5 = a + 4d

Where

a = T1 = 17

d = -3

So, we have:

T5 = 17 - 4 * 3

Evaluate

T5 = 5

Hence, the fifth term is 5

<h3>How to determine the nth term?</h3>

The nth term is calculated as:

Tn = a + (n - 1)d

Hence, the nth term is Tn = a + (n - 1)d

Read more about arithmetic sequence at:

brainly.com/question/6561461

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