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In this lesson, we will learn how to find the summation of a finite arithmetic series given in the sigma notation.

Q1:

Given 𝑟 = 𝑛 ( 𝑛 + 1 ) ( 2 𝑛 + 1 ) 6 , use the properties of summation to find 5 𝑟 − 6 7 .

Q2:

Given that 𝑟 = 𝑛 ( 𝑛 + 1 ) 2 and 𝑟 = 𝑛 ( 𝑛 + 1 ) ( 2 𝑛 + 1 ) 6 , use the properties of the summation notation to find 7 𝑟 − 7 𝑟 − 2 1 .

Q3:

Given that 𝑟 = 𝑛 ( 𝑛 + 1 ) 2 and 𝑟 = 𝑛 ( 𝑛 + 1 ) ( 2 𝑛 + 1 ) 6 , use the properties of the summation notation to find 7 𝑟 − 2 3 𝑟 .

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