Respuesta :
Answer:
165,025 birthday candles has been blown out by the Dracula in his whole horrifying life.
Step-by-step explanation:
Present age of the monster Dracula = 574 years
Number of candles on his first birthday = 1
Number of candles on his second birthday = 2
Number of candles on his third birthday = 3
Number of candles on nth birthday= n
The sequence coming out be is an arithmetic sequiece:
1,2,3,4......
a = 1, d = 1
if n = 574
Then sum of the nth term is given as:
[tex]S_n=\frac{n}{2}(2a+(n-1)d)[/tex]
[tex]S_{574}=\frac{574}{2}(2\times 1+(574-1)\times 1)[/tex]
[tex]S_{574}=165,025[/tex]
165,025 birthday candles has been blown out by the Dracula in his whole horrifying life.