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Chapter 4: Q. 9 (page 325)

Consider the sum $\sum_{k = m}^{n} a_{k} = 9 + 16 + 25 + 36 + 49$

Short Answer

Expert verified

The required answer is $a_{k} = k^{2}, m = 3, n = 7$

Step by step solution

Step 1. Given Information

The given summation is $\sum_{k = m}^{n} a_{k} = 9 + 16 + 25 + 36 + 49$

Step 2. Explanation

The sum can be written as $\sum_{k = m}^{n} a_{k} = 3^{2} + 4^{2} + 5^{2} + 6^{2} + 7^{2}$

Thus, from this, we get,

$a_{k} = k^{2}, m = 3, n = 7$

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Consider the sum $\sum_{k = m}^{n} a_{k} = 9 + 16 + 25 + 36 + 49$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

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Consider the sum∑k=mnak=9+16+25+36+49

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Explanation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Theoretical and Mathematical Physics

Statistics

Discrete Mathematics

Probability and Statistics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Consider the sum $\sum_{k = m}^{n} a_{k} = 9 + 16 + 25 + 36 + 49$