Sequences and Functions

Challenge Question:

Find the first term of the given sequence:

a₁₄=68

d=3

• 14

• 20

• 26

• 29

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

• 14
• 68
• 63
• 71

This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?

• 4
• 3
• 2
• 6

An auditorium has 80 rows of seats and the number of seats per row increases at a constant rate.  If there are 32 seats in the 8th row, and 68 seats in the 20th row, how many seats are in the last row?

• 240
• 248
• 272
• 320

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

What is the explicit rule for the sequence:
11, 22, 44, 88...

• _gn = 2(11)^n-1
• _gn = 11x2
• _gn = 11(2)^n-1
• g_n = 11+(2)^n-1

Write the explicit rule for the geometric sequence:
2, -12, 72, ...

• a_n = 72(-6)^n-1
• a_n = 2(-6)^n-1
• a_n = 2(6)^n-1
• a_n = 72(-6)^n-1

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

• 14
• 68
• 63
• 71

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

If an arithmetic sequence is graphed, which of the following will best model the shape of the graph?

• Linear

• Exponential

• Quadratic