What is the sum of the described series? Use . A radio station is holding a trivia contest. The prize money starts at $20 for the first question. Each question is tougher than the one before it, and the station doubles the prize money from the previous amount. If the radio station has 8 trivia questions, how much total money will it hand out in prizes?

$5100

Step-by-step explanation:

Given, The prize money starts at $20 for the first question.

Let a= 20,

Also, Each question is tougher than the one before it, and the station doubles the prize money from the previous amount.

i.e. the sequence prize willbe : $20 , 2 x ($20) , 2² x ($20)x ....

That is its is an geometric progression with the common ratio r= 2,

Since the sum of n terms in GP is given by :-

So the total money will it hand out in prizes after 8 questions would be :

Hence, the total money it will hand out in prizes = $5100

its the fourth option

hello :

70y^8 + 30y^6 = 2 ( 35 y^8 + 15y^6)

the lenght is : 35 y^8

the width is : 15y^6