Can someone please help me with this question?
2 answers:
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Of means multiplication
So
And then simplify the numerator ad denominator
=
And simplify the numerator and denominator again
=
And we are finally left with the answer which is
So
And then simplify the numerator ad denominator
=
And simplify the numerator and denominator again
=
And we are finally left with the answer which is
The explicit rule for given sequence is:
Further explanation:
We have to determine first of all if the sequence is arithmetic or geometric.
- If the difference of two consecutive terms is same then the sequence is arithmetic sequence
- If the ratio of two consecutive terms is same then the sequence is geometric sequence
Given sequence is:
12,22,32,42
The common difference is 10 which is same for all consecutive terms. So the sequence is an arithmetic sequence.
The general formula for arithmetic sequence is:
Putting the values of a1 and d
The explicit rule for given sequence is:
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
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