What is the sum of the first 37 terms of the arithmetic sequence? −27,−21,−15,−9,...

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The sum of the first 37 terms of the arithmetic sequence is 2997.

Step-by-step explanation:

Arithmetic sequence concepts:

The general rule of an arithmetic sequence is the following:

In which d is the common diference between each term.

We can expand the general equation to find the nth term from the first, by the following equation:

The sum of the first n terms of an arithmetic sequence is given by:

In this question:

We want the sum of the first 37 terms, so we have to find

Then

The sum of the first 37 terms of the arithmetic sequence is 2997.

i did it myself and i got 4.2 (b) hope its right

step-by-step explanation: