Calculus Examples

$\sum_{n = 3}^{6} n x - 1$

Step 1

Expand the series for each value of $n$ .

$3 x - 1 + 4 x - 1 + 5 x - 1 + 6 x - 1$

Step 2

Substitute the values back and simplify $3 x - 1 + 4 x - 1 + 5 x - 1 + 6 x - 1$ .

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Add $3 x$ and $4 x$ .

$7 x - 1 - 1 + 5 x - 1 + 6 x - 1$

Add $7 x$ and $5 x$ .

$12 x - 1 - 1 - 1 + 6 x - 1$

Add $12 x$ and $6 x$ .

$18 x - 1 - 1 - 1 - 1$

Simplify by subtracting numbers.

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Subtract $1$ from $- 1$ .

$18 x - 2 - 1 - 1$

Subtract $1$ from $- 2$ .

$18 x - 3 - 1$

Subtract $1$ from $- 3$ .

$18 x - 4$