Answer:
Step-by-step explanation:
Start by taking everything out of the parentheses:
Note two negatives make a positive:
Combine like terms:
Simplify
Write the absolute value equations in the form x−b =c (where b is a number and c can be either number or an expression) that hav
2 answers:
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Answer:
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
Step-by-step explanation:
Given sequence is:
-11, 5, 21, 37, 53, ...
Here
First of all, we have to find if this is an arithmetic sequence
For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence
So,
As the common difference is same, the sequence is an arithmetic sequence
General rule for arithmetic sequence is:
Putting values
For 100th term,
Putting n=100
Hence,
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573