Question

A king wanted to reward his advisor, a wise man of the kingdom. So he asked the wiseman to name his own reward. The wiseman thanked the king but said that he would ask only for some gold coins each day for a month. The coins were to be counted out in a pattern of one coin for the first day, 3 coins for the second day, 5 coins for the third day and so on for 30 days. Without making calculations, find how many coins will the advisor get in that month?

Answer 1

According to the question,

Total coins the advisor get at the end = 1 + 3 + 5 + .....

The coins order is in the series of odd natural number,

So, the number of terms (n) = 30

So, sum of odd natural numbers = n² 

= 30² 

= 900

Hence, total coins the advisor get at the end is 900.