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Chapter 4: Q. 26 (page 325)

Write each of the sums in Exercises 21鈥�28 in sigma notation. Identify m,n,akin each problem.

9+12+15+18+21+24+27

Short Answer

Expert verified

The sigma notation is鈭�k=393kandm=3,n=9,ak=3k

Step by step solution

01

Step 1. Given Information   

The given sum is 9+12+15+18+21+24+27

02

Step 2. Explanation    

The sum in sigma notation is written as,

9+12+15+18+21+24+27=3脳3+3脳4+3脳5+3脳6+3脳7+3脳8+3脳9=鈭�k=393kwhere,m=3,n=9,ak=3k

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Most popular questions from this chapter

Use the Fundamental Theorem of Calculus to find the exact values of the given definite integrals. Use a graph to check your answer.

鈭�14鈥�2x+3x2+3x+4dx

Show by exhibiting a counterexample that, in general, 鈭�f(x)g(x)dx鈮�鈭�f(x)dx鈭�g(x)dx. In other words, find two functions f and g such that the integral of their quotient is not equal to the quotient of their integrals.

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Calculate the exact value of each definite integral in Exercises 47鈥�52 by using properties of definite integrals and the formulas in Theorem 4.13.

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Given a simple proof that鈭�k=5n(ak+bk)=鈭�k=5nak+鈭�k=5nbk
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