One sixth of students at a local college are seniors. The number of freshmen students is 2 1/2 times that amount. What fraction
2 answers:
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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:
- aₙ₊₁ = aₙ+2, for n ≥1
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:
Answer:
-1
Step-by-step explanation:
We know that i^4 is equal to one so what you do is divide by 4 and the remainder is your simplified version
In this case the remainder is two which means taht i^82 = i^2 = -1
