The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t
1 answer:
Answer:
The numbers are 9, 19 and 76.
Step-by-step explanation:
Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.
The first number in terms of x:
The second number in terms of x:
If we add them all up, these 3 numbers in terms of x must be equal to 104, so:
Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:
The first number is 9, second number 19 and the third number 76.
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PART A
The geometric sequence is defined by the equation
To find the first three terms, we put n=1,2,3
When n=1,
When n=2,
When n=3
The first three terms are,
PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,
PART C
To find
We substitute n=11 into the equation of the geometric sequence.
This implies that,
The geometric sequence is defined by the equation
To find the first three terms, we put n=1,2,3
When n=1,
When n=2,
When n=3
The first three terms are,
PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,
PART C
To find
We substitute n=11 into the equation of the geometric sequence.
This implies that,