Sequences

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

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

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 Equation for the following Arithmetic Sequence:
8, 13, 18, 23, 28

• a_n = n + 5
• a_n= 3(n + 5)
• a_n= 5n + 3
• a_n= 3n + 5

Find the explicit formula if given the following sequence: 1, 3, 9, 27, ...

• f(n) = 3(3)^n-1

• f(n)= 3(5)^n-1

• f(n) = 3ⁿ

• f(n) = 15(5)^n-1

Write an equation for the n-th term of each geometric sequence, and find the indicated term.

Also state the 5th term of -6, -24, -96, ...

• f(n) = -6(4)ⁿ; -6144

• f(n) = -6(4)ⁿ; -1536

• f(n) = 4(-6)ⁿ; 5184

Determine whether the sequence is arithmetic, geometric, or neither.

• arithmetic
• geometric
• neither

Tags

CCSS.HSF.BF.A.2

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1
• a_n = 2(10)^n-1
• a_n = 10(2)ⁿ
• a_n = 2(10)ⁿ

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n