Question

3. Express 144 as the sum of 12 odd
4. How many numbers lie between 992 and 1002?
5. Write a Pythagorean triplet whose one number is 17.
6. Find the smallest square number which is divisible by each of the numbers 6,8,9,
7. In an auditorium the number of rows is equal to number of chairs in each row. If the
nium is 1764. Find the number of chairs in each row.
1​

Answer 1

Answer:

We know that the sum of the first n odd natural numbers is equal to n  

2

, for every natural number n.

Therefore, the sum of first 12 odd natural numbers is equal to 12  

2

=144.

Now, the first 12 odd numbers are 1,3,5,7,9,11,13,15,17,19,21,23 and their sum is determined as follows:

1+3+5+7+9+11+13+15+17+19+21+23=12  

2

=144

Hence 1+3+5+7+9+11+13+15+17+19+21+23=144

Step-by-step explanation:

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Answer 2

Answer:

3. 1+3+5+7+9+11+13+15+17+19+21+23=12²=144

4. 1002-992=10

5.m*2=17

m²-1=71.25

m²+1=73.25

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