Q. 14 Sums and Constant Multiples of C... [FREE SOLUTION]

Chapter 7: Q. 14 (page 655)

Sums and Constant Multiples of Convergent Series:
If ${鈭�}_{k = 1}^{鈭�} a_{k} and {鈭�}_{k = 1}^{鈭�} b_{k}$ are convergent series and c is any real number, then
${鈭�}_{k = 1}^{鈭�} c a_{k} =____$

Short Answer

Expert verified

The required answer is ${鈭�}_{k = 1}^{鈭�} c a_{k} = c {鈭�}_{k = 1}^{鈭�} a_{k}$

Step by step solution

Step 1. Given Information

The given data is If ${鈭�}_{k = 1}^{鈭�} a_{k} and {鈭�}_{k = 1}^{鈭�} b_{k}$ are convergent series and c is any real number.

Step 2. Explanation

As we know that any constant multiple of convergent series can be written as ${鈭�}_{k = 1}^{鈭�} c a_{k} = c {鈭�}_{k = 1}^{鈭�} a_{k}$

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91影视

Sums and Constant Multiples of Convergent Series:
If ${鈭�}_{k = 1}^{鈭�} a_{k} and {鈭�}_{k = 1}^{鈭�} b_{k}$ are convergent series and c is any real number, then
${鈭�}_{k = 1}^{鈭�} c a_{k} =____$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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91影视

Sums and Constant Multiples of Convergent Series:If 鈭�k=1鈭�akand鈭�k=1鈭�bk are convergent series and c is any real number, then鈭�k=1鈭�cak=____

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Logic and Functions

Mechanics Maths

Pure Maths

Geometry

Statistics

Study anywhere. Anytime. Across all devices.

Sums and Constant Multiples of Convergent Series:
If ${鈭�}_{k = 1}^{鈭�} a_{k} and {鈭�}_{k = 1}^{鈭�} b_{k}$ are convergent series and c is any real number, then
${鈭�}_{k = 1}^{鈭�} c a_{k} =____$