1 Algebra worksheet with WORDKEY + 2 Alegbra Problems!!

So basically half of this does not require much work. Im going to give you an algebra worksheet thats blank with all the questions. I have a word key with all the work and anwsers provided. All you have to do is copyand paste them on to the blank sheet. The other half is just two algebra questions about sequencies and series that do require solving. All info below 🙂

Name
Class
Date
Algebra 2B Sample Work – Unit 4: Sequences and Series
Chapter 6
Lesson 9-1. Determine whether the formula is recursive or explicit. Then state the first five terms of the
sequence.
1. a1 = 2; an = an−1 − 3
th
Lesson 9-2. Find the 24 term of the sequence.
2.
43, 41, 39, 37, . . .
th
Lesson 9-3. Find the 8 term of the sequence.
3. 2, 6, 18, . . .
5. Write an explicit formula for the geometric sequence
4.
1 1
, , 3, . . .
12 2
a1  27, r 
1
3
Lesson 9-4. Find the sum of the arithmetic series
.
6. 4 + 11 + 18 + . . . + 53
Lesson 9-5. Evaluate the sum of the geometric series.
7. 243 − 81 + 27 − 3 + . . . ; n = 8
8.
4  2 1
1
 …
2
11. Short Answer
(3 points)
Note: Remember to show all of the steps that you use to solve the problem. You can use the
comments field to explain your work. Your teacher will review each step of your response to
ensure you receive proper credit.
n-1
Consider the infinite geometric series Σ-4
Σ Š
In this image, the lower limit of the
3
n=1
summation notation is “n=1”.
a. Write the first four terms of the series.
b. Does the series diverge or converge?
c. If the series has a sum, find the sum.
12. Describe an infinite geometric series with a beginning value of 2 that converges to 10. What
are the first 4 terms of the series?
(2 points)