Use the formula an = d (n − 1) + aj to write a formula for the arithmetic sequence below.
1 answer:
Answer:
= 4n - 2
Step-by-step explanation:
There is a common difference d between consecutive terms in the sequence, that is
6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 4 , thus
= 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2
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Answer:
By putting x = -x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.
Step-by-step explanation:
We need to explain why the function of is neither even or odd
First we will understand, when the function is even and odd
Even function:
<em>A function is even if f(-x) = f(x) </em>
Odd function:
<em>A function is odd if f(-x) = -f(x) </em>
So, if we get the above result by putting x = -x, then we can say that the function is even or odd.
If we don't get any of the above results then the function is neither even nor odd.
So, for the given function:
Put x = -x
So, by putting x=-x in f(x) i.e. f(-x) we didn't get f(x) or -f(x) so, the function is neither even nor odd.