Sequences and Series Practice

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147
• -19,683
• -59,049
• 118,098

Find the nth term of...
2,1,0,-1... 

• -3n+1
• -n+3
• -2n+4
• -4n+2

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8
• a₁ =6, a_n = a_n - 1 - 2
• a₁ = 6, a_n = a_n-1 + 2
• a₁ = 6, a_n = a_n-1 - 2

What kind of sequence is the pattern 15, 17, 20, 24, 29, ...?

• Arithmetic
• Geometric
• Neither

Find the missing terms in the geometric sequence
2, __, __, __, 13122,...

• 3283, 6562, 9843
• 22, 1222, 6022
• 18, 162, 1458
• 16, 128, 1024

Find the missing terms in the arithmetic sequence
1, __, __, __, 29,...

• 7, 15, 23
• 8, 15, 22
• -8, 15, -22
• 3, 9, 27

Evaluate the arithmetic series described:
14 + 23 + 32 + 41..., S₁₁

• 1296
• 1298
• 2604
• 649

You are sitting in row 23 and notice there are 65 seats in your row. The row in front of you has 63 seats and the row behind you has 67 seats. There are 42 rows in the auditorium. How many seats does the auditorium contain? (Hint: Find the number of seats in the first and last rows)

• 2,604
• 2,163
• 2,422
• 2,803

Find the 13th term: 
2, 6, 18, 54, ….

• 1,000,000
• 1,062,882
• 123,587
• 5 bazillion