1,256 balls divided by 13 games. About how many balls should each game get? Estimate answers are:
1 answer:
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1. Geometric Sequence
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Step-by-step explanation:
Given sequence is:
6, 18, 54, 162,....
Here
(a) Is this an arithmetic or geometric sequence?
We can see that the difference between the terms is not same so it cannot be an arithmetic sequence.
We have to check for common ratio (ratio between consecutive terms of a sequence) denoted by r
As the common ratio is same, the given sequence is a geometric sequence.
(b) How can you find the next number in the sequence?
Recursive formulas are used to find the next number in sequence using previous term
Recursive formula for a geometric sequence is given by:
In case of given sequence,
So to find the 5th term
(c) Give the rule you would use to find the 20th week.
In order to find the pushups for 20th week, explicit formul for sequence will be used.
The general form of explicit formula is given by:
Putting the values of a_1 and r
Hence,
1. Geometric Sequence
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Keywords: Geometric sequence, common ratio
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The smallest y can be is y = -1. The largest it can be is y = 1. The value of y can be anything in between. The value of y is a real number.
Answer: Choice D) All real numbers between -1 and 1 including -1 and 1
Note: we can write that as
which in interval notation would look like ![[-1, 1]](https://tex.z-dn.net/?f=%5B-1%2C%201%5D%20)
. The square brackets tell us to include the endpoints.
Answer: Choice D) All real numbers between -1 and 1 including -1 and 1
Note: we can write that as
