Unit 1 Discrete Mathematics Test Review

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

• 59048
• -29524
• 524288
• 3069

Find S_n for the given series:
a₁=22
d=-8
n=21

• 1911
• -1449
• -2436
• -1218

Find the sum if possible

• 16
• 48
• 36
• not possible

Find the sum for the following series. 

• 44
• -162
• -682
• 324

Find the explicit rule for an arithmetic sequence if the 6th term is -38 and the 14th term is -110

• a_n=7-9(n-1)

• a_n=-9+7(n-1)

• a_n=-83+9(n-1)

• a_n=9-83(n-1)

• Converges to 0

• Converges to 1

• Converges to 3

• Diverges

Determine the sum of the series written in Sigma Notation. 

• 5400
• 2692
• 2700
• 2704

Determine the sum of the series written in Sigma Notation. 

• 45
• 49
• 90
• 47

The 6th partial sum of the series 2 + 6 + 10 + 14 + ... in sigma notation is

• 
• 
• 
•