$\"\"$

The arithmetic sequence is –7, –3, 1, 5,........

The first term $\"\"$ .

Find the common difference by subtracting successive terms.

$\"\"$

The common difference (d) is 4. $\"\"$

Find the nth term, so using the nth term formula: $\"\"$ .

$\"\"$ (Substitute $\"\"$ , and d = 4)

Distibute terms using distributive property: a(b – c)= ab – ac.

$\"\"$

Apply commutative property of addition: a + b = b + a.

$\"\"$

$\"\"$ (Subtract: $\"\"$ ) $\"\"$

Find the 35th term in the sequence.

$\"\"$ (Substitute n = 35)

$\"\"$ (Multiply: $\"\"$ )

$\"\"$ (Subtract: $\"\"$ ) $\"\"$

The 35th term of the arithmetic sequence $\"\"$ .