Precalculus Examples

$\sum_{k = 7}^{9} 24 - 13 k$

Step 1

Expand the series for each value of $k$ .

$24 - 13 \cdot 7 + 24 - 13 \cdot 8 + 24 - 13 \cdot 9$

Step 2

Simplify.

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Step 2.1

Multiply $- 13$ by $7$ .

$24 - 91 + 24 - 13 \cdot 8 + 24 - 13 \cdot 9$

Step 2.2

Subtract $91$ from $24$ .

$- 67 + 24 - 13 \cdot 8 + 24 - 13 \cdot 9$

Step 2.3

Multiply $- 13$ by $8$ .

$- 67 + 24 - 104 + 24 - 13 \cdot 9$

Step 2.4

Subtract $104$ from $24$ .

$- 67 - 80 + 24 - 13 \cdot 9$

Step 2.5

Subtract $80$ from $- 67$ .

$- 147 + 24 - 13 \cdot 9$

Step 2.6

Multiply $- 13$ by $9$ .

$- 147 + 24 - 117$

Step 2.7

Subtract $117$ from $24$ .

$- 147 - 93$

Step 2.8

Subtract $93$ from $- 147$ .

$- 240$