Find the missing terms in the following geometric sequence.
1 answer:
Answer:
Answer: Option d. 36,108 is the correct answer.
Step-by-step explanation:
In this question we have given a sequence of four terms and we know the first and last term.
Now we have to calculate the ratio of the terms so that we can complete the sequence.
We know the formula of the sequence A(n) =
Now we know A(4)=324
A(1) = 12
n = 4
So we the values in the formula
324 =
324 =
r = 3
So the sequence will be 12,36,108,324
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Answer:
The system of equation are
The number of early bird tickets are <u>15</u> and of regular tickets are <u>5</u>.
Step-by-step explanation:
Given,
Total number of tickets = 20
Total amount = $225
Solution,
Let the number of early bird tickets be 'x'.
And also let the number of regular tickets be 'y'.
Now total number of tickets is the sum of number of early bird tickets and number of regular tickets.
So framing in equation form, we get;
Total number of tickets = number of early bird tickets + number of regular tickets
Again, Total amount is the sum of number of early bird tickets multiplied with price of each ticket and number of regular tickets multiplied with price of each ticket.
So framing in equation form, we get;
Hence the system of equation are
Now we solve the equation by multiplying equation 1 by 10, and get;
Now subtracting equation 3 from equation 2, we get;
On substituting the value of 'y' in equation 1, we get;
Hence The number of early bird tickets are <u>15</u> and of regular tickets are <u>5</u>.