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Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Step-by-step explanation:
a.)7, 4, 1, -2, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,
The explicit rule for an arithmetic sequence is:
Putting the value of a1 and d
b.)-11, -3, 5, 13, ...
First of all we have to find the common difference. Common difference is the difference between consecutive terms of an arithmetic sequence
Here,
The explicit rule for an arithmetic sequence is:
Putting the value of a1 and d
Hence,
Rule for sequence a is: a_n = 10-3n
Rule for sequence b is: a_n = -19+8n
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
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