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Sn is the sum of the first n terms To find the sum of the terms of an arithmetic sequence, you can use the following formulae:
Question
Sn is the sum of the first n terms
To find the sum of the terms of an arithmetic sequence, you can use the
following formulae:
A. If the first and last terms are
given:
Sn=n(A1+An)÷2
where:
Sn is the sum of the first n terms
A1 is the first term
An is the last terma
B. If the last term is not given:
Sn=n[2a+ d(n-1)]÷2
where:
Sn is the sum of the first n terms
A1 is the first term
d is the common difference
Can you prove these formulae?
One way to prove thee formulae is to use mathematica induction.
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Mathematics
5 years
2021-08-05T05:12:53+00:00
2021-08-05T05:12:53+00:00 1 Answers
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Answer:
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