(a)
To Calculate:
Value of the 10th question , if the value of the 1st question is $3000.
(a)
Answer to Problem 75SR
The value of the 10th question is worth $25,500.
Explanation of Solution
Given Information :
Value of 1st question = $3000 = first term of AP = a
Formula Used:
For A.P
n-th term is given by:
Sum of n terms is given by:
Calculation:
Here, we have the Arithematic Progression (AP) as follows:
q = Number of questions
a = value of 1st question = 3000
d = the common difference = 2500( Since each successive question’s value increases by $2500)
Hence, the AP is as follows :
3000 , 3000+2500, 3000+2(2500) , ………
So, we find the 10th term of about Arithematic Progression :
Hence, the value of 10th question is worth $25,500 .
(b)
To Calculate:
If all questions are answered correctly, how much are the winnings?
(b)
Answer to Problem 75SR
If all the questions are correct, the contestant will win $142,500 .
Explanation of Solution
Given Information :
Value of 1st question = $3000 = first term of AP = a
From part (a) , we have the Arithematic Progression :
3000 , 3000+2500 , 3000+2(2500) , ……..
And 10th term of the AP = 25,500 =
Formula Used:
For A.P
n-th term is given by:
Sum of n terms is given by:
Calculation:
We need to find the sum of first 10 terms of the Arithematic Progression :
So, if all the questions are answered correctly , the contestant will get $142,500.
Chapter 4 Solutions
Algebra 1
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