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# Sequences and Series Bundle - 13 worksheets

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Sequence and Series Bundle – 13 worksheets
1. First three terms in a sequence
This self checking worksheet features geometric, arithmetic and recursive sequences. The student will substitute 1, 2 and 3 into an equation to find the first three terms of eight different equations. Once finished, the student will learn a geography fact.

2. Finding the Nth term of an arithmetic sequence
This self checking worksheet gives the student the first term and the common difference. They are asked to find an arbitrary term (like 25th term or 34th term) in that sequence. When finished, the students will find an obvious statement.

3. Finding an Arbitrary term of an arithmetic sequence
This self checking worksheet gives the students two terms (like the 18th and 32nd term) and asks them to find the common difference as well as another term in the sequence (like the 26th term or perhaps the 39th term). Upon completion, the students will find a rhetorical question.

4. Recursive Formulas
This self checking worksheet features both arithmetic and geometric sequences. The students are given a term of the sequence (like the 3rd term) and asked to find a near-by term (like the 1st or 5th term). Upon completion, the students will find the solution to a riddle.

5. Sum of an arithmetic series given a1, d and term number
This self checking worksheet gives the students the first term, the common difference and the number of terms in the series and asks the student to find the sum of all terms. I had my students first find the last term of the series, then find the sum. Upon completion, the students will learn a Greek Proverb.

6. Arithmetic applications
This self checking worksheet has the classic word problems involving series: theater rows and stacks of cans. There are a couple others as well. Some require the student to find the sum and some do not. Once the student is finished, the solution to a riddle is revealed.

7. Sum of an arithmetic series using sigma notation
This self checking worksheet involves 12 problems which are listed using Sigma Notation. All of the problems begin with k = 1 and will proceed through anywhere from 7 to 20 terms. The equations are all arithmetic. When completed, the students will reveal a fun pun.

8. Finding the nth term of a geometric sequence
This self checking worksheet gives the students the first term and the common ratio and ask for a certain term (for example the 11th term) of the same sequence. Approximately half of the problems use fractions and half use integers. Upon completion, the students will discover a clever thought.

9. Finding the common ratio in a geometric sequence
This self checking worksheet gives the student two arbitrary terms (like the 2nd term and the 9th term). The students are then asked to find the common ratio. About half of the problems are fractions and the other half are integers. When complete, the students will discover a thought from Confucius.

10. Sum of a geometric series
This self checking worksheet sports two types of problems. The top half gives the student the first term, a common ratio and an arbitrary last term (like the 8th term). The bottom half gives the student the first term, a common ratio and the last term without showing the term number. Upon completion, the students will reveal a proverb.

11. Sum of an infinite geometric series
This self checking worksheet gives the student two types of problems to try. The top half lists the first term and the common ratio and the second half given the student the problem using summation notation from 1 to infinity. Upon completion of this worksheet, the students will find the solution to a riddle.

12. Binomial theorem
This self checking worksheet takes the students through finding a term (like the 3rd term) in an expansion such as (3x^2-1)^4. When finished, the students will find wise words from Confucius.

13. Finding terms of a geometric sequence
This self checking worksheet contains two types of problems. The top half of the worksheet has the student finding the common ratio, then finding the next four terms. The bottom half of the worksheet gives the students a recursive formula and asks for the next three terms. Upon completion, the students will learn the solution to a riddle.
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