The first four terms of an arithmetic sequence are 28, 20, 12, and 4. which term of the sequence is - 36

Question

Mathematics

Natalie Walter

8 April, 13:05

The first four terms of an arithmetic sequence are 28, 20, 12, and 4. which term of the sequence is - 36

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Answers (1)

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Brian Lamb · Answer 1

For an arithmetic sequence, the nth term is the first term plus (n-1) * the differece

the first term is 28, the difference between each adjacent number is 8

so - 36 = (28) + 8 (n-1)

8 (n-1) = 64

n-1=8

n=9

the 9th term is - 36