The first four terms in an arithmetic sequence are - 3, - 10, - 17, and - 24. Which expression can be used to find the nth term? What is the 25th term of the sequence?

A) - 7 (n - 1); - 168

B) - 3 + (n - 1) (-7); - 171

C) - 3 + (n + 1) (-7); - 185

D) 3 + (n - 1) (-7); - 165

Question

Mathematics

Jarrett

12 January, 13:22

The first four terms in an arithmetic sequence are - 3, - 10, - 17, and - 24. Which expression can be used to find the nth term? What is the 25th term of the sequence?

A) - 7 (n - 1); - 168

B) - 3 + (n - 1) (-7); - 171

C) - 3 + (n + 1) (-7); - 185

D) 3 + (n - 1) (-7); - 165

+5

Answers (1)

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Shelby Smith · Answer 1

Hello:

the nth term is : An = A1 + (n-1) d d : common difference A1: the first term

d = (-24) - (-17) = (-17) - (-10) = (-10) - (-3) = - 7 and A1 = - 3

An = - 3 + (n-1) (-7) ... (B) - 3 + (n - 1) (-7))

A25=-3 + (25-1) (-7) = - 3-168 = - 171

The first four terms in an arithmetic sequence are - 3, - 10, - 17, and - 24. Which expression can be used to find the nth term? What is the 25th term of the sequence?A) - 7 (n - 1); - 168B) - 3 + (n - 1) (-7); - 171C) - 3 + (n + 1) (-7); - 185D) 3 + (n - 1) (-7); - 165

The first four terms in an arithmetic sequence are - 3, - 10, - 17, and - 24. Which expression can be used to find the nth term? What is the 25th term of the sequence?

A) - 7 (n - 1); - 168

B) - 3 + (n - 1) (-7); - 171

C) - 3 + (n + 1) (-7); - 185

D) 3 + (n - 1) (-7); - 165