Four times the some of a number plus 2. Eight times a number minus 20
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Answer:
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.
First we must apply the Quotient rule that states,
This means that our derivative becomes,
Now we need to calculate and
From here the new equation looks like,
And that is the final result.
Hope this helps.
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