Algebra Examples

35

$35$ ,

32

$32$ ,

29

$29$ ,

26

$26$

Step 1

This is an arithmetic sequence since there is a common difference between each term. In this case, adding

- 3

$- 3$ to the previous term in the sequence gives the next term. In other words,

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

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

Arithmetic Sequence:

d = - 3

$d = - 3$

Step 2

This is the formula of an arithmetic sequence.

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

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

Step 3

Substitute in the values of

a_{1} = 35

$a_{1} = 35$ and

d = - 3

$d = - 3$ .

a_{n} = 35 - 3 (n - 1)

$a_{n} = 35 - 3 (n - 1)$

Step 4

Simplify each term.

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Step 4.1

Apply the distributive property.

a_{n} = 35 - 3 n - 3 \cdot - 1

$a_{n} = 35 - 3 n - 3 \cdot - 1$

Step 4.2

Multiply

- 3

$- 3$ by

- 1

$- 1$ .

a_{n} = 35 - 3 n + 3

$a_{n} = 35 - 3 n + 3$

a_{n} = 35 - 3 n + 3

$a_{n} = 35 - 3 n + 3$

Step 5

Add

35

$35$ and

3

$3$ .

a_{n} = - 3 n + 38

$a_{n} = - 3 n + 38$

35, 32, 29, 26

$35, 32, 29, 26$

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