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Cogito

Algebra 2 · Chapter 7 · Lesson 2

Practice Worksheet

Series and Sigma Notation

Adding a list without writing it out.

12 problems · about 22 minutes · A-SSE.B.4, F-BF.A.2

NameDate

Figure — use these to answer the problems

An arithmetic sequence sits on a straight line. The common difference is its slope.
-8-8-6-6-4-4-2-222446688
y = 3x + 2
Common difference3
Starting value2
Figure 1

Warm Up

Straightforward practice. Get the method working first.

5 problems

  1. What is the sum of 1 + 2 + ... + 50?

    Answer

  2. What is the difference between a sequence and a series?

    • A series is the sum of the terms of a sequence.
    • A series has more terms.

  3. Sum of 1 + 2 + ... + 10?

    Answer

  4. Sum of 2 + 4 + 6 + 8 + 10?

    Answer

  5. A sum runs from k = 1 to k = 15. How many terms?

    Answer

Build It Up

The same ideas with more to keep track of.

3 problems

  1. A sum runs from k = 0 to k = 15. How many terms?

    Answer

  2. Geometric series 2 + 4 + 8 + 16. What is the sum?

    Answer

  3. Geometric series 3 + 6 + 12 + 24 + 48. What is the sum?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

4 problems

  1. Sort each item as a sequence or a series.

    Write each item under the heading it belongs to: 3, 7, 11, 15 · 3 + 7 + 11 + 15 · The 20th term of a list · The total of the first 20 terms

    Sequence

    Series

  2. Sum of 5 + 10 + 15 + ... + 50?

    Answer

  3. The Sum

    What is the sum of 1 + 2 + 3 + ... + 20?

    Answer

  4. The Seats

    A theatre has 12 seats in row 1, 15 in row 2, 18 in row 3, and 10 rows in total. How many seats are there?

    Answerseats