Question

fill in each blank so that the resulting statement is true. the first term of \\(\sum\limits_{i=1}^{13} (3i - 1)\\) is ____ and the last term is ____. the first term of \\(\sum\limits_{i=1}^{13} (3i - 1)\\) is \\(\square\\) and the last term is \\(\square\\). (simplify your answer.)

Explanation:

Step1: Find the first term

To find the first term of the sum \(\sum_{i = 1}^{13}(3i - 1)\), we substitute \(i=1\) into the expression \(3i - 1\).

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Step2: Find the last term

To find the last term of the sum \(\sum_{i = 1}^{13}(3i - 1)\), we substitute \(i = 13\) into the expression \(3i-1\).

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Answer:

The first term is \(2\) and the last term is \(38\).