If f(x) =- 2x + 5, find f(4x)
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Answer:
Step-by-step explanation:
We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:
and we are given enough info to fill in:
and
and
or in linear format:
where n is the position of the number in the sequence. We already know the first term is -35.
The second term:
so
and
The third term:
and
so
and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.
That means that the fourth term will be -27 + 4 which is -23.
The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:
and
so
All integers where n ≥ 1.
We have given that the sequence,
We have to find the domain for n.
<h3>What is the meaning of arithmetic sequence?</h3>Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.
That is,
where a = first term of sequence.
d =common difference.
n =number of terms which belongs to natural numbers
By the definition of arithmetic sequence n starts with 1
Remember that,the natural number starts with 1
Now, in given sequence for nth term
The domain for n is All integers where n ≥ 1.
To learn more about the arithmetic sequence visit: