Sequence - Review

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Find the 10th term.

• 16

• 12

• 21

• 20

A grocer is creating a display of cans. There are 40 cans on the 1st (bottom) row, 38 cans on the 2nd row, 36 cans on the 3rd row, and so on. How many cans will be on the 15th row?

• 32 cans

• 
  10 cans

• 12 cans

• 68 cans

Given the rule 5n - 2. What are the first 4 terms in the sequence? 

• 1,2,3,4

• -2, 1, 3, 7

• 3, 8, 13, 18

• 
  3, 6, 9, 12

There are 125 passengers in the first carriage, 150 passengers in the second carriage, 175 passengers in the third carriage, and so on in an arithmetic sequence. What is the total number of passengers in the 7th carriage?

• 225

• 250

• 275

• 300

Find the first term of the given sequence:
a₁₄=68
d=3

• 14

• 20

• 26

• 29

Find the n^th term for the following quadratic sequence...

7, 13, 23, 37, 55...

• 2n² + 5

• 2n² + 5n

• n² + 5

• n² - 5

The nth term of a sequence is
 3n²−3n+2 
What is the 3rd term of the sequence

• 74

• 38

• 301

• 20

The first four terms of a sequence are

5, 11,21, 35

What are the next two terms?

• 41, 47

• 53, 75

• 49, 63

• 45, 51

What is the nth term rule for the total number of squares?

• n²+1

• 4n−2

• 4n²+1

• n²+n