Discrete Math Final Exam Review: Sequences and Series

The 1st term of an arithmetic sequence is -188, and the 4th term of this sequence is -47. What is the 5th term of the sequence?

• -14

• 0

• 4

• 16

Tags

CCSS.HSF.BF.A.2

• The sum does not exist.

Shasta is searching for a long lost buried treasure that is supposedly buried somewhere in a large field. The first day she digs 1 hole to try and find the treasure. The second day she digs 4 new holes, the third day 7 new holes, and so on continuing a pattern of digging 3 more holes than she did the previous day. Finally she gives up, having dug 232 new holes on the last day she tried.

How many total holes did she dig while looking for the treasure?

• 78

• 1,624

• 4,500

• 9,087

Tags

CCSS.HSF.BF.A.2

The 5th term of a geometric series is -60, and the common ratio of the series is -2.5. What is the sum of the first 10 terms of the series?

• -14,648.438

• -4,185.707

• 4,184.829

• 5,859.375

Tags

CCSS.HSA.SSE.B.4

Tags

CCSS.HSF.BF.A.2

What is the sum of the next three numbers in the sequence shown below?

3.2, 4.8, 7.2, ...

Tags

CCSS.HSF.BF.A.2

The sum of the first 3 terms of a geometric series is 155. The common ratio of this series is 5. What is the first term?

• 5

• 10

• 15

• 20

Tags

CCSS.HSA.SSE.B.4