Calculus Examples

$\sum_{n = 2}^{5} x - n$

Step 1

Expand the series for each value of $n$ .

$x - 2 + x - 3 + x - 4 + x - 5$

Step 2

Substitute the values back and simplify $x - 2 + x - 3 + x - 4 + x - 5$ .

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Step 2.1

Add $x$ and $x$ .

$2 x - 2 - 3 + x - 4 + x - 5$

Step 2.2

Add $2 x$ and $x$ .

$3 x - 2 - 3 - 4 + x - 5$

Step 2.3

Add $3 x$ and $x$ .

$4 x - 2 - 3 - 4 - 5$

Step 2.4

Simplify by subtracting numbers.

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Step 2.4.1

Subtract $3$ from $- 2$ .

$4 x - 5 - 4 - 5$

Step 2.4.2

Subtract $4$ from $- 5$ .

$4 x - 9 - 5$

Step 2.4.3

Subtract $5$ from $- 9$ .

$4 x - 14$