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.

1, 1/4, -1/2, -5/4, -2

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.

step-by-step explanation:

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