What is the sum of first five multiples of 7?

What is the sum of first five multiples of 7?

To find the sum of the first five multiples of 7, we need to identify the multiples and then add them together.

First multiple of 7 is 7 itself.

Second multiple of 7 is 14, obtained by multiplying 7 by 2.

Third multiple of 7 is 21, obtained by multiplying 7 by 3.

Fourth multiple of 7 is 28, obtained by multiplying 7 by 4.

Fifth multiple of 7 is 35, obtained by multiplying 7 by 5.

Now, let's add these multiples together to find the sum.

The sum of the first five multiples of 7 is 7 + 14 + 21 + 28 + 35 = 105.

So, the sum of the first five multiples of 7 is 105.

What is the 5 multiple of 7?

The 5 multiple of 7 is the result obtained when you multiply 7 by the number 5. In mathematical terms, it can be expressed as 5 x 7.

To calculate the 5 multiple of 7, you simply need to multiply the two numbers together. This can be done by adding 7 to itself 5 times or by using the multiplication operation. The result of this calculation is 35.

The concept of multiples is fundamental in mathematics. A multiple is a number that can be divided by another number without leaving a remainder. In this case, 35 is a multiple of both 5 and 7.

Understanding multiples is important in various areas of mathematics, such as finding common multiples, solving equations, and calculating factors. It helps in identifying patterns and relationships between numbers.

Knowing the 5 multiple of 7 is useful in various real-life situations, such as calculating time intervals, determining prices based on quantities, and solving problems involving equal sharing or distribution.

To summarize, the 5 multiple of 7 is 35. Multiples are essential in mathematics and have practical applications in various situations.

What is the average of the first five multiples of 7 each?

What is the average of the first five multiples of 7 each? This question involves finding the average of a specific set of numbers. In this case, we are looking for the average of the first five multiples of 7.

To find the first five multiples of 7, we can simply multiply 7 by each of the first five counting numbers: 1, 2, 3, 4, and 5. The resulting multiples are: 7, 14, 21, 28, and 35.

Now, to calculate the average, we add up all the multiples and then divide the sum by the total number of multiples. In this case, we have five multiples, so we add 7 + 14 + 21 + 28 + 35 = 105. Then, we divide 105 by 5 to get the average.

Therefore, the average of the first five multiples of 7 each is 21. The concept of finding averages is essential in various fields such as mathematics, statistics, and even everyday life. It provides a way to summarize data and make meaningful interpretations.

What is the sum of first seven multiples of 7?

The sum of the first seven multiples of 7 can be calculated by adding the numbers 7, 14, 21, 28, 35, 42, and 49 together. These numbers are obtained by multiplying 7 by each of the consecutive integers starting from 1 to 7.

In this case, the sum of these multiples is:
7 + 14 + 21 + 28 + 35 + 42 + 49 = 196.

Therefore, the sum of the first seven multiples of 7 is 196.

This result can be obtained by using the formula for the sum of an arithmetic series, which states that the sum of a series is equal to the average of the first and last term multiplied by the number of terms. In this case, the average of 7 and 49 is 28, and there are 7 terms, so the sum can also be calculated as (7 + 49)/2 * 7 = 28 * 7 = 196.

Knowing the sum of the first seven multiples of 7 can be useful in various mathematical problems or calculations. It helps to build a foundation for understanding multiplication and pattern recognition. Additionally, it can be applied in real-life situations such as calculating a certain quantity of items that come in groups of 7 or determining a total value based on multiples of 7.

What is the sum of the first 10 multiples of 7?

The sum of the first 10 multiples of 7 can be calculated by adding together the numbers 7, 14, 21, 28, 35, 42, 49, 56, 63, and 70.

To find the sum, we can use the formula for the sum of an arithmetic series. The formula is: Sn = n/2 × (a + l), where Sn is the sum of the series, n is the number of terms, a is the first term, and l is the last term.

In this case, we have n = 10 (since we want the sum of the first 10 multiples of 7), a = 7 (the first term), and l = 70 (the last term).

Using the formula, we can calculate the sum as follows:

Sn = 10/2 × (7 + 70)

Sn = 10/2 × 77

Sn = 5 × 77

Sn = 385

Therefore, the sum of the first 10 multiples of 7 is 385.