Math Problem Statement

Find the sum of all the positive multiples of 7 that are less than 50.

Solution

The problem asks to find the sum of all the positive multiples of 7 that are less than 50. Let's solve it step by step.

Step 1: Identify the positive multiples of 7 less than 50.

The multiples of 7 less than 50 are: 7,14,21,28,35,42,497, 14, 21, 28, 35, 42, 49

Step 2: Add these multiples together.

7+14+21+28+35+42+497 + 14 + 21 + 28 + 35 + 42 + 49

Let's calculate this sum:

21 + 21 = 42 \\ 42 + 28 = 70 \\ 70 + 35 = 105 \\ 105 + 42 = 147 \\ 147 + 49 = 196$$ So, the sum of all the positive multiples of 7 that are less than 50 is **196**. If you need further details or have any questions, feel free to ask! Here are five related questions to deepen your understanding: 1. What is the sum of all positive multiples of 7 that are less than 100? 2. How do you find the sum of an arithmetic series? 3. What is the general formula for the sum of the first $$n$$ terms of an arithmetic sequence? 4. How would you find the sum of all positive multiples of a different number, say 5, that are less than 50? 5. What are the applications of finding the sum of multiples in real-world scenarios? **Tip:** When adding a series of numbers, it’s often helpful to check for patterns or use a formula to simplify the process, especially when dealing with arithmetic sequences.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Multiples

Formulas

Sum of arithmetic series

Theorems

Arithmetic progression

Suitable Grade Level

Grades 6-8