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ashleytellez
21.05.2021 •
Mathematics
A sequence has a rule to subtract 3/4 from the previous term. Create a sequence using this rule with at least 5 rational numbers.
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Ответ:
1, 1/4, -1/2, -5/4, -2
Step-by-step explanation:Let the first term of the sequence be a;
Since the sequence has a rule to subtract 3/4 from the previous term;
the second term will be a - 3/4
the third term will be (a - 3/4) - 3/4
=> a - 6/4
=> a - 3/2
the fourth term will be (a - 3/2) - 3/4
=> a - 9/4
the fifth term will be (a - 9/4) - 3/4
=> a - 12/4
=> a - 3
We can then create a hypothetical series by setting a = 1.
The first term => a = 1
The second term => a - 3/4 = 1 - 3/4 = 1/4
The third term => a - 3/2 = 1 - 3/2 = -1/2
The fourth term => a - 9/4 = 1 - 9/4 = -5/4
The fifth term => a - 3 = 1 - 3 = -2
The generated sequence is therefore:
1, 1/4, -1/2, -5/4, -2
Note: The numbers in the sequence are rational numbers since they all have a non-zero denominator.
Ответ: