1 / 11

sigma notation

sigma notation. Mrs. Aldous, Mr. Beetz & Mr. Thauvette DP SL Mathematics. You should be able to…. Express a series using sigma notation. Expand and evaluate an expression written in sigma notation. A Greek letter - in maths it translates as “the sum of”. the sum of the first 5 terms.

leandra-shepard
Télécharger la présentation

sigma notation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. sigma notation Mrs. Aldous, Mr. Beetz & Mr. ThauvetteDP SL Mathematics

  2. You should be able to… • Express a series using sigma notation. • Expand and evaluate an expression written in sigma notation.

  3. A Greek letter - in maths it translates as “the sum of” the sum of the first 5 terms end term r=5 start term r=1 What type of series is it? 3, 7, 11, .... Make r=1, r=2, .... AP: u1=3, d=4, n=5 r=1, 4-1=3 =55 r=2, 8-1=7 r=3, 12-1=11

  4. Find the following information: 1. Type of series (AP or GP) 2. n 3. u1 4. difference (d) or ratio (r) 5. The sum 1. 8, 16, 32, .... a GP 2. n=6 (careful .. use your fingers to count) 3. u1 = 8 4. r= 2 5. 504

  5. Solve each of the following sums 1. GP: 265680 2. AP: 858 3. GP: 1023 4. GP: 315012 (approx.) 5. AP: 102.5 6. AP: 10400

  6. Question (a) Write down the first three terms of the sequence

  7. Question continued… (b) Find (i)

  8. Question continued… (ii)

  9. You should know… • The Greek letter is used to denote the sum of the terms of a series. • To express a series using sigma notation, use the form (general term). For example,

  10. GDC • Use the sum and sequence functions to evaluate expressions written in sigma notation. For example, to observe the terms of the arithmetic sequence: and to evaluate its sum, we could use the following

  11. Be Prepared • Both arithmetic and geometric series can be expressed using sigma notation

More Related