# 1. Algebra: Consider the arithmetic sequence 87, 83, 79, 75, . . .. (You may assume that the pattern displayed continues for the whole sequence.)?

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(a) Find the formula for the general term tn.

(b) Is −145 a member of the sequence. Give reasons for your answer.

(a) Find the formula for the general term tn.

(b) Is −145 a member of the sequence. Give reasons for your answer.

##### 2 Answers

#### Explanation:

Each term is

sequence

The difference between the sequence and the

So the

To see if a number is in the sequence, equate the

subtract

divide by

Term number

#### Explanation:

In sequence

Then, is an arithmetic sequence of difference

a) We know that general term in an arithmetic sequence is given by:

b) let's see if there is an

Thus, the