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:

The first answer: you have to 560-200 which equals 360 then divide by 45 which equals 8 so your answers 8
The second answers: first 6.91- 1.45= 5.46 then take 5.46 and divide by 0.42 which equals 13 so your answers 13