Answer:
Attached image
Step-by-step explanation:
The first step is to line it up in the Pythagorean theorem, then you want to move the to the other side of the equation via subtraction from both sides in order to isolate the
. After that, you'll end up with
then you'll want to square root both sides and end with
.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
11, 13, 15, 17, 19, ...
Determining the Recursive formula:
We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.
From the given sequence it is clear that every term can be obtained by adding two to the previous term.
i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2
so
aₙ₊₁ = aₙ+2, for n ≥1
Therefore, a recursive formula is:
Determining the Explicit formula:
Given the sequence
11, 13, 15, 17, 19, ...
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
also
so substituting ,
in the nth terms
Therefore, the Explicit formula is:
