Express ^@25^@ as a sum of odd natural numbers.
Answer:
^@ 25 ^@
- We know that
Sum of ^@ n ^@ odd natural numbers = ^@ n^2 ^@
Also,
^@ 5^2 ^@ = ^@ 5 \times 5 ^@ = ^@ 25 ^@ - Thus, we can write ^@25^@ as a sum of ^@5^@ natural numbers.
^@ \implies 25^@ = ^@ 1 + 3 + 5 + 7 + 9 ^@