Precalculus Examples

$\sum_{i = 1}^{4} 4 n + 1$

Step 1

Expand the series for each value of $i$ .

$4 n + 1 + 4 n + 1 + 4 n + 1 + 4 n + 1$

Step 2

Substitute the values back and simplify $4 n + 1 + 4 n + 1 + 4 n + 1 + 4 n + 1$ .

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Step 2.1

Add $4 n$ and $4 n$ .

$8 n + 1 + 1 + 4 n + 1 + 4 n + 1$

Step 2.2

Add $8 n$ and $4 n$ .

$12 n + 1 + 1 + 1 + 4 n + 1$

Step 2.3

Add $12 n$ and $4 n$ .

$16 n + 1 + 1 + 1 + 1$

Step 2.4

Simplify by adding numbers.

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Step 2.4.1

Add $1$ and $1$ .

$16 n + 2 + 1 + 1$

Step 2.4.2

Add $2$ and $1$ .

$16 n + 3 + 1$

Step 2.4.3

Add $3$ and $1$ .

$16 n + 4$