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Arithmetic series

Find the sum of the arithmetic series to the term indicated

p+3p .... ; rth term

I did r/2 (p+r) but that gave pr and not pr^2 which is the answer in the book, could someone explain how to do it
It's an arithmetic sequence so terms must have a common difference
What is the first term and the common difference in this sequence?
How can you use them in the sum of a series formulae? you look to be using the version of the formula that combines the first and last term. In which case what is the value of the
'r'th term - it isn't r! Alternatively, use the other formula where n=r.


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(edited 9 years ago)
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Original post by bl64
Find the sum of the arithmetic series to the term indicated

p+3p .... ; rth term

I did r/2 (p+r) but that gave pr and not pr^2 which is the answer in the book, could someone explain how to do it


The difference is 2p here

THe rth term is ar=p+(r1)2pa_r=p+(r-1)\cdot 2p
The first term is a1=pa_1=p
THe number of elements is: r

From these you can write down the sum according to the formula

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