Question

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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
460, 451,442

Find the 37th term.

Answer 1

136

Explanation:

Arithmetic Sequence.

Common Difference:

451−460=−9

442−451=−9

d=−9

Explicit Formula:

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

a{37}=460+(36)(-9)

a{37}=136

=136

(Got it right on DeltaMath

Answer 2

37th term = -136

Explanation:

Given:

Series;

460, 451 ,442

First term a = 460

Common difference D = 451 - 460 = -9

Find:

37th term

Computation:

37th term = a + 36D

37th term = 460 + 36(-9)

37th term = -136