Question Video: Evaluating the Sum of a Finite Series | Nagwa Question Video: Evaluating the Sum of a Finite Series | Nagwa

Question Video: Evaluating the Sum of a Finite Series Mathematics • Second Year of Secondary School

Evaluate ∑_(𝑟 = 2) ^(6) −25.

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Video Transcript

Evaluate the sum of negative 25 where 𝑟 takes values from two to six.

As the value we are trying to sum here is a constant, we might think that the answer is just negative 25. However, the sigma or sum notation tells us that our series will have five terms, when 𝑟 equals two, three, four, five, and six. Each of these terms will be equal to the constant negative 25. This means that we need to add negative 25, negative 25, negative 25, negative 25, and negative 25. This is the same as multiplying negative 25 by five, giving us negative 125.

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