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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.
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sigma notation Mrs. Aldous, Mr. Beetz & Mr. ThauvetteDP 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 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
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
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
Question (a) Write down the first three terms of the sequence
Question continued… (b) Find (i)
Question continued… (ii)
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,
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
Be Prepared • Both arithmetic and geometric series can be expressed using sigma notation