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Find the term named in the problem,and the explicit formula. -32,-132,-232,-332,… find a40

User JoeGaggler
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1 Answer

17 votes
17 votes

We need to find the n term formula:

The given sequence represents an arithmetic sequence and it follows the next form:


a_n=a+(n-1)d

Where a represents the first term, in this case, a= -31

n is the term of the sequence

And d is the constant:

Let's find the constant

a1 to a2 =

-32 to -132, then, -32 needs -100 units bo equal to -132.

Now, -132 need -100 units to be equal to -232.

-232 needs -100 units to be equal to -332

Therefore, the constant d is equal to -100, d=-100

Replacing these values:


a_n=-32+(n-1)(-100)

Then:


a_n=-32-(n-1)(100)

With this n formula, we can replace n=40, then, we will find a40:


a_(40)=-32-(40-1)100

Therefore:


a_(40)=-3932

User Jvhang
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