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Dividing fractions is the same as multiplying by its reciprocal so you can change the equation to this
And you can simplify by eliminating the fours and multiplying straight across
You can pull out - 7 from the top and 2 from the bottom so you have this
And then you can cancel out to (2-x) to get an answer of
And you can simplify by eliminating the fours and multiplying straight across
You can pull out - 7 from the top and 2 from the bottom so you have this
And then you can cancel out to (2-x) to get an answer of
Answer:
Recursive:
Explicit:
And the 20th term is 225.
Step-by-step explanation:
We have the sequence:
35, 45, 55, 65.
Notice that each subsequent term is 10 more than the previous term.
Therefore, our common difference is (+)10.
Recursive Rule:
The standard format for the recursive rule is:
Where a is the initial term and d is the common difference.
From our sequence, we know that a the initial term is 35.
And as determined, our common difference d is 10.
Substitute. Hence, our recursive rule is:
Explicit Rule:
The standard format for the explicit rule is:
Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:
Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:
Evaluate:
Hence, the 20th term is 225.