Find the sum. ∑i=1^50 4

Name: Problem 64, Chapter 8: College Algebra
Uploaded: 2022-03-07T22:02:49-08:00
Duration: 20 s
Channel: Nick Johnson
Description: Find the sum. ∑i=1^50 4

step 1 So here we have the sum where we have I going from 1 to 10 of just 10. So this we just have a co

Question

Find the sum. $\sum_{i=1}^{50} 4$

   Find the sum.
$\sum_{i=1}^{50} 4$

College Algebra

Julie Miller, Donna… 2nd Edition

Chapter 8, Problem 64

Instant Answer

Solved by Expert Nick Johnson

03/07/2022

Step 1

So, the sum is equal to 4 + 4 + 4 + ... + 4 (50 times). Show more…

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Find the sum. $\sum_{i=1}^{50} 4$

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Key Concepts

Summation Notation

Summation notation uses the sigma symbol to denote the sum of a sequence of terms. It provides a concise way to represent the addition of a series of values, often derived from a formula or a defined sequence where the index variable ranges over specific integers.

Constant Summation

When the term being summed is a constant, the summation simplifies to multiplying the constant by the number of terms. This understanding streamlines the process by converting repeated addition into a direct multiplication problem.

Arithmetic Multiplication

Multiplication is a fundamental arithmetic operation that can be applied to simplify sums, especially when the same number is added repeatedly. In the context of constant summation, multiplication quickly yields the total sum by scaling the constant by the number of terms.

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