Worksheet: Sum of a Finite Arithmetic Series in Sigma Notation

In this worksheet, we will practice finding the summation of a finite arithmetic series given in the sigma notation.

Q1:

Evaluate ( 3 𝑟 + 4 ) .

Q2:

Evaluate 6 𝑟 .

Q3:

Evaluate 5 𝑟 = 1 6 7 .

Q4:

Find 9 ( 𝑟 3 7 ) using the properties of summation and given 𝑟 = 𝑛 ( 𝑛 + 1 ) 2 .

Q5:

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

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