Find the sum. 37+38+39+40+...103+104
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.
Find the sum.
37+38+39+40+...103+104
![### Summation Problem
#### Problem Statement:
Find the sum \( 37 + 38 + 39 + 40 + \ldots + 103 + 104 \).
#### Answer Box:
The sum is \[ \_\_\_\_\_\}.
#### Instructions:
Enter your answer in the answer box and then click "Check Answer".
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#### Explanation:
In this problem, we are asked to find the sum of a sequence of consecutive integers starting from 37 and ending at 104.
To solve this, we can use the formula for the sum of an arithmetic series:
\[ \text{Sum} = \frac{n}{2} \times (\text{first term} + \text{last term}) \]
where \( n \) is the number of terms in the series.
1. **First Term (a):** 37
2. **Last Term (l):** 104
3. **Number of Terms (n):**
\[ n = \text{last term} - \text{first term} + 1 \]
\[ n = 104 - 37 + 1 = 68 \]
4. **Sum Calculation:**
\[ \text{Sum} = \frac{n}{2} \times (a + l) \]
\[ \text{Sum} = \frac{68}{2} \times (37 + 104) \]
\[ \text{Sum} = 34 \times 141 \]
\[ \text{Sum} = 4794 \]
Thus, the sum of the series from 37 to 104 is **4794**.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F31b55198-299b-40af-822f-8536b91cff39%2F81251c1c-85bf-42c8-9fda-2a0ef1fd33ff%2Fb6ho14_reoriented.jpeg&w=3840&q=75)
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