Question

1. Without adding, find the value of the following -
1+3+5+7+9+11
1+3+5+7+9+11+13+15+17
2. How many non-square numbers lie between 1000power2 and 1001power2​

Answer 1

Answer:

1. Sum of 6 odd numbers is 6² = 36

  Sum of 9 odd numbers is 9² = 81

2. 2000 non-square lie between 1000² and 1001².

Answer 2

Answer:

1.(i) Here, there are five odd numbers. Therefore square of 5 is 25. 1 + 3 + 5 + 7 + 9 = 5^25

2

= 25

(ii) Here, there are ten odd numbers. Therefore square of 10 is 100. 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 = 10^210

2

= 100

2. Between 1000²and 1001²

Here n=1000

Therefore, 2×n=2000 or 2×1000

therefore, 2000 non square lie between 1000² & 1001²

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