Algebra 2 - Sequences and Summation

Evaluate.

• 112

• 99

• 140

• -8

The next two terms of the sequence 4,7,10,13 are ....

• 16 and 19
• 15 and 19
• 16 and 18
• 15 and 18

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it. Distribute and combine like terms.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

What sequence follows the formula a_n =4n+11

• 4, 15, 26, 37...

• 15, 19, 23, 27...

• 15, 26, 37, 48...

• 11,15, 19, 23...

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1
• a_n = 3(4)^n-1
• a_n = -4(3)^n-1
• a_n = 3(-4)^n-1

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

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

• arithmetic
• geometric
• neither

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

• a₁ =11

  a_n = 2(11)^n-1

• a₁ =11

  a_n = 11x 2

• a₁ =11

  a_n = 11(2)^n-1

• a₁ =11

  a_n = 2a_n-1

Write an explicit rule for the general term of the sequence 5, 15, 45, . . . ?

• a_n = a_n-1 x 3
• a_n = 5(3)^n-1
• a_n = 3(5)^n-1
• a_n = 5 + (n-1)3

Find the first 6 terms of the sequence.

• 13, 19, 25, 31, 37, 43

• 7, 13, 19, 25, 31, 37

• 1, 7, 13, 19, 25, 31

• 7, 12, 17, 22, 27, 32