Finding the rule for a sequence with alternating powers

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Mathematics
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11th Grade - University
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main challenge when dealing with sequences that have alternating signs?
Ensuring the sequence has no repeating terms
Making sure the sequence is always decreasing
Finding a rule that handles the sign changes
Ensuring the sequence is always increasing
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why was the formula adjusted to include an additional term?
To ensure the first term is positive
To make the sequence increase exponentially
To make the sequence decrease linearly
To ensure the sequence starts with a negative term
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of raising -1 to the power of N+1 in the formula?
To ensure the sequence is always positive
To alternate the signs of the sequence
To make the sequence decrease
To ensure the sequence is always negative
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the teacher verify that the formula works correctly?
By ensuring the sequence is always increasing
By comparing the sequence to a different mathematical model
By calculating the first few terms and confirming they match expectations
By checking the sequence against a known pattern
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the consistent output the teacher aims to achieve with the formula?
The sequence should always be one
The sequence should always be positive
The sequence should always be zero
The sequence should always be negative
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