Question

If 6³ is expressed as sum of consecutive odd numbers we get

• A. 27+29+31+33+35+37
• B. 31 +33+35+37+39+41
• C. 31 + 33 + 35 + 37

Answer 1

The correct option is B 31 +33+35+37+39+41

To express 6³ as sum of consecutive odd numbers, first find 6².
6² = 36.

Then, write previous 3 consecutive odd numbers less than 36
i.e., 35, 33, 31
and next 3 consecutive odd numbers more than 36
i.e., 37, 39, 41
Now add all these odd numbers 31 + 33 + 35 + 37 + 39 + 41.

So, 6³ as sum of consecutive odds is 6³ = 31 + 33 + 35 + 37 + 39 + 41