Arithmetic Series, IB Math HL

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Arithmetic Series, IB Math HL

Postby Jack » Wed Jan 29, 2014 7:17 am

IB Mathematics HL – Arithmetic Sequences and Series

How can we find the sum of the first 44 terms of the arithmetic sequence defined by the following formula?
for


Thanks
Jack
 
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Re: Arithmetic Series, IB Math HL

Postby miranda » Wed Jan 29, 2014 7:18 am

IB Math HL – Arithmetic Sequences and Series


This is an arithmetic sequence with common difference which can be found as following



The first term is , the common difference is , and .

In order to find the sum of the first terms, we are using the following formula for an arithmetic series:



, where in our case

Therefore,





Hope these help!! :) :)
miranda
 
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Re: Arithmetic Series, IB Math HL

Postby Jack » Wed Jan 29, 2014 7:19 am

Thanks!
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