Express 81 as the sum of first nine consecutive odd numbers.
Answers
81 as the sum if nine consecutive odd numbers
1+3+5+7+9+11+13+15+17
Step-by-step explanation:
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Answer:
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81
Step-by-step explanation:
To find:- Sum of 1st nine consecutive odd numbers
Solution:-
Odd numbers are those whole numbers that cannot be divided by 2, when divided by 2 it leaves a remainder. All numbers except the multiples of 2 are known as odd numbers.
Consecutive odd numbers are the ones that are written in their sequence order i.e. from the smallest to the largest number. We can also say that odd numbers are arranged in an ascending order.
The first 9 consecutive odd numbers are:
1, 3, 5, 7, 9, 11, 13, 15, 17
Sum of the above consecutive odd numbers
= 1+3+5+7+9+11+13+15+17
= 1+3+5+7+9+11+13+32
= 1+3+5+7+9+11+45
= 1+3+5+7+9+56
= 1+3+5+7+65
= 1+3+5+72
= 1 + 3 + 77
= 4 + 77
= 81.
Therefore, 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81.
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