Calculus Examples

$\sum_{n = 1}^{3} 17 n - 15$

Step 1

Expand the series for each value of $n$ .

$17 \cdot 1 - 15 + 17 \cdot 2 - 15 + 17 \cdot 3 - 15$

Step 2

Simplify.

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Step 2.1

Multiply $17$ by $1$ .

$17 - 15 + 17 \cdot 2 - 15 + 17 \cdot 3 - 15$

Step 2.2

Subtract $15$ from $17$ .

$2 + 17 \cdot 2 - 15 + 17 \cdot 3 - 15$

Step 2.3

Multiply $17$ by $2$ .

$2 + 34 - 15 + 17 \cdot 3 - 15$

Step 2.4

Subtract $15$ from $34$ .

$2 + 19 + 17 \cdot 3 - 15$

Step 2.5

Add $2$ and $19$ .

$21 + 17 \cdot 3 - 15$

Step 2.6

Multiply $17$ by $3$ .

$21 + 51 - 15$

Step 2.7

Subtract $15$ from $51$ .

$21 + 36$

Step 2.8

Add $21$ and $36$ .

$57$