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How do I find the partial sum of an arithmetic sequence?

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1 Answer

Aug 5, 2018

#color(purple)(S_n = n/2 * (2a + (n-1)d)#

Explanation:

First term is a, common difference is d

#n^(th)# #term# #a_n = a + (n-1) * d#

Partial sum of an arithmetic sequence is given by

#S_n = n / 2 * (a + a_n) = n/2 * (a + (a + (n-1) * d)#

#color(purple)(S_n = n/2 * (2a + (n-1)d)#

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