Find Nth Term Given Explicit Formula

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

What is the rule (explicit equation) for the n^th term given 
60, 55, 50, 45, ...

• a_n= -5+60n

• a_n= -5n+55

• a_n= -5n+65

• a_n= 5n+55

Write the explicit rule for the arithmetic sequence
12, 10, 8, 6, ...

• a_n = 12n - 14

• a_n = 2n - 14

• a_n = -2n + 14

• a_n = -12n + 14

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

(HINT - Find the explicit formula first, then use your formula!)

• -515

• -490

• -535

• 460

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

What is the 40th term in the sequence with the given explicit formula:

• 12

• 138

• 128

• -16

Find the 25th term if the sequence whose nth term is: 10n-51

• 250

• 200

• 199

• 159

Find the first four terms of the sequence.

• 12, 48, 192, 768

• 12, 144, 1728, 20736

• 12, 24, 36, 48

• 3, 12, 48, 192

An arithmetic sequence is given below.

2, 9, 16, 23, ...

Which is the explicit formula for the n^th term a_n?

(Look at the choices carefully! You may have to simplify your equation to get the correct choice!)

• a_n = -7n+9

• a_n = 7n-5

• a_n = 7n-9

• a_n = -7n+5

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

(HINT - Find the explicit formula first, then use your formula!)

• -216

• -148

• -146

• -150