Sequences & Series Review

Arithmetic Sequences

100

What is the formula for an Arithmetic Sequence?

u_n = u₁ + d(n - 1)

200

Write an general term equation for the following sequence:

-24, -20, -16, ...

U_n=-24+4(n-1)

300

What are the first four terms of the following sequence?

U_n=12-23(n-1)

12, -11, -34, -57

400

How many terms are in the following sequence? 1,3,5,7...43

21 terms

500

What is the value of k in the following arithmetic sequence

k-1 , 2k+3 , 7-k

k=0

Arithmetic Series

100

What is the formula for an Arithmetic Series

S_n=(n/2)(u₁+u_n)

or

S_n=(n/2)(2u₁+d(n-1))

200

Find the sum of the following sequence: 1,2,3,4,5,6....111,112,113,114

6555

300

Find S₉₈ for the following series:
0.2, 0.4, 0.6, ...

970.2

400

Write the equation and find the sum of this series

8.9,17.8,26.7,35.6,44.5 ... 1619.8

u_n=8.9+8.9(n-1)

S_n=(182/2)(8.9+1619.8)

S₁₈₂=148211.7

500

The first 3 terms of a Arithmetic series are 

S₁=22

S₂=30

S₃=24

What are the first three terms in the SEQUENCE?

22, 8, -6

Geometric Sequences

100

What is the formula for a geometric series? What are the first four terms of the following sequence? 

u_n=3(7)^n-1

What is 3, 21, 147, 1029

200

What is the equation to find the 89^th term of this sequence?

3, 15, 75, 375

3*5^89-1

300

What is the 17th term of the following sequence? 65, 45.5, 31.85, 22.295, ...

0.22

400

how many terms are in the following sequence

55296, 27648, 13824...6.75

n=14

500

Determine the value of k in the following geometric sequence

2, 2k, 2k+4

what is 

k=2

Geometric Series

100

What is the formula for the sum of a geometric series.

Must have both partial and infinite sum equations.

S_n=(u₁(1-rⁿ))/(1-r)

S_infinity=u₁/(1-r)

|r|<1

200

The conditions for using the infinite sum formula are

-1<R<1 (converging)

300

Find the sum of the following series

20, 15, 11.25

S_infinity=80

400

Find the sum of the following sequence: 3, 12, 48, ... , 196608

262,143

500

The first 3 terms of a geometric series are 

S₁=60

S₂=108

S₃=146.4

What are the first three terms in the SEQUENCE?

What is 60, 48, 38.4

No calculator

100

add: 2/3+4/5

What is 22/15

200

the quadratic formula

What is x=(-b +or- sqrt(b^2-4ac) )/ (2a)

300

22/(1-1/4)

what is 88/3

400

calculate the following values

4² , 5² , 6² ,  7² , 8²,   9² ,  10² ,  11² ,  12² ,  13² ,  14² ,  15² 

16,25,36,49,64,81,100,121,144,169,195,225

500

Calculate the following values

2³, 3³ , 4³ , 5³ , 6³,  7³ , 8³,   9³ ,  10³ 

what is 

8,27,64,125,216,343, 512, 729, 1000