Answer:
900 coins
Step-by-step explanation:
The Wiseman demands 1 gold coin for the 1st day, then 3 gold coins for the 2nd day, then 5 gold coins for the 3rd day and it continues for 30 days in this pattern.
Therefore, the total number of gold coins that he gets will be,
1+ 3+ 5+ ..... up to 30 terms.
This is an A.P. series with the first term(a) 1 and a common difference(d) 2 and the number of terms(n) 30.
Hence, the sum of the A.P. series is given by [tex]\frac{n}{2} [2a+(n-1)d][/tex]
= [tex]\frac{30}{2} [2*1+(30-1)*2][/tex]
= 900 coins (Answer)