Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![**Problem:** Find the sum.
\( \sum_{k=1}^{6} k^2 \)
**Explanation:**
The given expression is a sigma notation that represents the sum of the squares of the first 6 positive integers. The notation can be broken down as follows:
- The lower limit of the summation is \(k = 1\), which means the summation starts from \(k = 1\).
- The upper limit of the summation is 6, which means the sum will be calculated up to \(k = 6\).
- The term being summed is \(k^2\), which means you will square each integer from 1 to 6 and then add them together.
So, the sum can be written out in expanded form as:
\[
1^2 + 2^2 + 3^2 + 4^2 + 5^2 + 6^2
\]
To calculate the sum:
\[
1 + 4 + 9 + 16 + 25 + 36
\]
\[
= 91
\]
Place your final answer in the provided input box.
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- Input Box: Enter your answer (the sum of the squares) in the provided box to check your solution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8c4e41d9-a3ac-4d29-97cc-72954cf84754%2F957218bb-d102-44c9-a72d-49627bceff99%2Fs7vjou.png&w=3840&q=75)
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