Calculus Examples

$0$ , $16 \cdot 15^{2}$

Step 1

Raise $15$ to the power of $2$ .

$0, 16 \cdot 225$

Step 2

Multiply $16$ by $225$ .

$0, 3600$

Step 3

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $3600$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = 3600$

Step 4

This is the formula of an arithmetic sequence.

$a_{n} = a_{1} + d (n - 1)$

Step 5

Substitute in the values of $a_{1} = 0$ and $d = 3600$ .

$a_{n} = 0 + 3600 (n - 1)$

Step 6

Add $0$ and $3600 (n - 1)$ .

$a_{n} = 3600 (n - 1)$

Step 7

Apply the distributive property.

$a_{n} = 3600 n + 3600 \cdot - 1$

Step 8

Multiply $3600$ by $- 1$ .

$a_{n} = 3600 n - 3600$