The value of 5 in the hundreds place is 500
The value of 5 in the thousands place is 5000
To find 500 is how many times in 5000 we will divide them
Then 500 is 1/10 times that 5000
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1 answer:
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Step-by-step explanation:
1)
Considering the sequence
2, 9, 16, 23,...
This sequence is an arithmetic sequence as the common difference between consecutive terms is constant.
i.e. ,
,
2)
Considering the sequence
3, 15, 75, 375,...
This sequence is geometric sequence as the common ratio between consecutive terms is constant.
i.e. r = 15/3 = 5, r = 75/15 = 5
3)
Considering the sequence
0,4,4,8,...
This sequence is not in arithmetic sequence as the common difference is not same.
This sequence is also not in geometric sequence as the common ratio is not same.
As the 2nd and 3rd term is repeating, it means the next term i.e. 5th would be 8 as the 4th term is 8.
So, it will be a recursive sequence.
4)
As the base of this exponential function is greater than 1.
i.e. because 1.1 > 1.
Therefore, this function will have exponential growth.
5)
As the base of this exponential function is less than 1. i.e. because 1/4 < 1.
Therefore, this function will have exponential decay.
Keywords: exponential decay, exponential growth, arithmetic sequence, geometric sequence, recursive sequence
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