Math Problem Statement

The average of the first eight odd natural numbers is: Ans 1. 10 2. 9 3. 8 4. 11

Solution

To find the average of the first eight odd natural numbers, we first list them:

1, 3, 5, 7, 9, 11, 13, 15

Next, we calculate their sum: 1+3+5+7+9+11+13+151 + 3 + 5 + 7 + 9 + 11 + 13 + 15

Let's add them step-by-step: 1+3=41 + 3 = 4 4+5=94 + 5 = 9 9+7=169 + 7 = 16 16+9=2516 + 9 = 25 25+11=3625 + 11 = 36 36+13=4936 + 13 = 49 49+15=6449 + 15 = 64

So, the sum of the first eight odd natural numbers is 64.

The average is the sum divided by the number of terms: Average=Sum of termsNumber of terms=648=8\text{Average} = \frac{\text{Sum of terms}}{\text{Number of terms}} = \frac{64}{8} = 8

Thus, the average of the first eight odd natural numbers is:

3. 8

Would you like further details or have any questions?

Here are 5 questions you might want to ask:

  1. How do you find the average of a sequence of numbers?
  2. What are the first ten odd natural numbers?
  3. How can you quickly sum a sequence of numbers?
  4. Can you explain the difference between odd and even numbers?
  5. What are some properties of odd natural numbers?

Tip: When finding the average of a sequence, first calculate the sum of all the numbers in the sequence, then divide by the number of terms in that sequence.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Odd Numbers
Average

Formulas

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Theorems

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Suitable Grade Level

Grades 5-6