Identify the Sequence 24 , 16 , 8 , 0

$24$ , $16$ , $8$ , $0$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $- 8$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = - 8$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = 24$ and $d = - 8$ .

$a_{n} = 24 - 8 (n - 1)$

Step 4

Simplify each term.

Apply the distributive property.

$a_{n} = 24 - 8 n - 8 \cdot - 1$

Multiply $- 8$ by $- 1$ .

$a_{n} = 24 - 8 n + 8$

Step 5

Add $24$ and $8$ .

$a_{n} = - 8 n + 32$

Identify the Sequence 24 , 16 , 8 , 0

Related Questions

Support LCMGCF.com by disabling your adblocker.