Sequence and Series Review

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16
• a_n = a_n-1 - 17
• a_n = a_n-1 - 15
• a_n = a_n-1 - 16

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

What is the sum of the first 18 terms of the sequence 9, 6, 3, . . .?

• 567
• -24
• -33
• -297

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048
• 6,144
• -6,144
• -531,441

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

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

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

• a_n = 2(11)^n-1
• a_n = 11x2
• a_n = 11(2)^n-1

Find the rule for this geometric sequence:
r = 3            a₃ = -12  

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

Find the 13th term: 
2, 6, 18, 54, ….

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

Evaluate the series.

• 36
• 85
• 35
• 86

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125