Sequence
Series
Arithmetic
Geometric
100

The first term of an arithmetic sequence is 5 and the common difference is -3. What is U15 of the sequence? 

U15=-37

100

Find the sum of the first 8 terms of the following series:

3, 15, 75,...

292,969

100

What is the common difference of the sequence

-5, -9, -13...

d = -4

100

True or False

The sequence is geometric:
5, -10, 20, -40...

True

200

Determine the rule for the nth term of the of the geometric sequence. 

192,-48,12,-3,... 

Un=192(-1/4)n-1

200

Find S10 for the following series, 

10+7+4+... 

What is S10=-35

200

Find the first five terms of the arithmetic sequence where a12=35 and a1=2

2,5,8,11,14

200

Determine the rule for the nth term of the geometric sequence

6, -18, 54, -162...

Un = 6(-3)n-1

300

Determine the first term of the arithmetic sequence in which the U16 = 110 and the common difference is 7.

5

300

A fan out system is used to communicate with a large group of people. The person in charge of the contact committee relays the information to four people. Each of those people notifies four more people who turn around and notify four more people. If there are 7 levels to this group how many people are in the group? 

4096

300

Determine S30 for the following series. 

5+5.3+5.6+...

S30=280.5

300

Find the 12th term of the geometric sequence

6, -18, 54, -162

1,062,882

400

The sum of the first 7 terms of a geometric series is 89. The sum of the first 8 terms is 104, what is the value of the 8th term? 

15

400

A doctor prescribes 200mg of medication on the first day of treatment. The dosage is reduced by one half on each successive day for one week. What is the total amount of medication prescribed? 

397mg

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