Find the sum. ∑k=1^4 k^2

Name: Problem 48, Chapter 8: College Algebra
Uploaded: 2019-08-17T23:24:03-08:00
Duration: 1 min 26 s
Channel: Emily Min
Description: Find the sum. ∑k=1^4 k^2

step 1 So in this problem, what we have is the summation from k equals 1 to k equals 4 of k squared. No

Question

Find the sum. $$\sum_{k=1}^{4} k^{2}$$

   Find the sum.
$$\sum_{k=1}^{4} k^{2}$$

College Algebra

James Stewart,… 7th Edition

Chapter 8, Problem 48

Instant Answer

Solved by Expert Emily Min

08/17/2019

Step 1

The expression given is $ k^2 $, and we need to find the sum of this expression as $ k $ ranges from 1 to 4. Show more…

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Find the sum. $$\sum_{k=1}^{4} k^{2}$$

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Key Concepts

Summation Notation

Summation notation uses the Greek letter sigma (?) to represent the addition of a sequence of numbers. It specifies a starting index, an ending index, and a general term, providing a concise way to indicate the sum of elements that follow a particular rule.

Exponentiation

Exponentiation is a mathematical operation involving a base raised to a power. In the context of the problem, it involves squaring the index value, which means multiplying the number by itself to compute the term for each step in the sequence.

Series Evaluation

Series evaluation involves computing the value of each term in a sequence according to a given formula and then summing these individual values to obtain the overall result. This process utilizes both the rules of exponentiation and the structure provided by summation notation.

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