Find the sum. ∑k=1^4 10

Name: Problem 93, Chapter 9: Algebra and Trigonometry Real Mathematics, Real People
Uploaded: 2020-08-12T06:45:12-08:00
Duration: 1 min 29 s
Channel: Ankit Gupta
Description: Find the sum. ∑k=1^4 10

step 1 In this case in sigma and k equal to 1 and ending value is 4 so starting value is 1 and ending v

Question

Find the sum. $$\sum_{k=1}^{4} 10$$

   Find the sum.
$$\sum_{k=1}^{4} 10$$

Algebra and Trigonometry Real Mathematics, Real People

Ron Larson 7th Edition

Chapter 9, Problem 93

Instant Answer

Solved by Expert Ankit Gupta

08/12/2020

Step 1

The sum of a constant, n times, is simply the constant multiplied by n. In this case, n is 4, the upper limit of the sum. So, we can write the sum as: $$\sum_{k=1}^{4} 10 = 4 \cdot 10$$ Show more…

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Find the sum. $$\sum_{k=1}^{4} 10$$

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Key Concepts

Summation Notation

Summation notation is a concise way of expressing the addition of a sequence of numbers. It uses the sigma (?) symbol along with an index variable, a starting index, an ending index, and an expression to be summed. This notation allows for a clear and compact representation of repeated addition, especially when the number of terms is large or when the terms follow a pattern.

Summing Constant Terms

When summing a constant term over a finite range, the result is the constant multiplied by the number of terms in the sum. This relies on the property that adding the same number multiple times is equivalent to multiplication, which simplifies the computation significantly.

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