Find the Next Term 58 , 47 , 36 , 25

$58$ , $47$ , $36$ , $25$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding $- 11$ to the previous term in the sequence gives the next term. In other words, $a_{n} = a_{1} + d (n - 1)$ .

Arithmetic Sequence: $d = - 11$

Step 2

This is the formula of an arithmetic sequence.

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

Step 3

Substitute in the values of $a_{1} = 58$ and $d = - 11$ .

$a_{n} = 58 - 11 (n - 1)$

Step 4

Simplify each term.

Apply the distributive property.

$a_{n} = 58 - 11 n - 11 \cdot - 1$

Multiply $- 11$ by $- 1$ .

$a_{n} = 58 - 11 n + 11$

Step 5

Add $58$ and $11$ .

$a_{n} = - 11 n + 69$

Step 6

Substitute in the value of $n$ to find the $n$ th term.

$a_{5} = - 11 \cdot 5 + 69$

Step 7

Multiply $- 11$ by $5$ .

$a_{5} = - 55 + 69$

Step 8

Add $- 55$ and $69$ .

$a_{5} = 14$

Find the Next Term 58 , 47 , 36 , 25

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