The
sequences of differences (subtracting the larger from the smaller) of consecutive perfect squares. Is it an arithmetic sequence?
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Yah its an arithmatic sequence
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Answer:
formed sequence is an arithmetic sequence.
Step-by-step explanation:
According to the question,
The sequences of differences of consecutive perfect squares (1², 2²,3²,4²,5².......) is
(4-1), (9-4), (16-9), (25-16)...... and so on
3,5,7,9.......... and so on
Common difference = 5-7 = 7-5 = 9-7 = 2
first term = 3
So, the formed sequence is an arithmetic sequence
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