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The series diverges. You Consider concluding this because the series is in arithmetic progression.
<h3>What is an arithmetic sequence?</h3>An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
where d is the difference and a₁ is the first term of the sequence.
The given series of numbers 1/4+3/2+11/4+4+21/4+.... is an arithmetic series because the difference between any two consecutive terms is 5/4. Therefore, the blanks can be filled as,
The series diverges. You Consider conclude this because the series is in arithmetic progression.
Learn more about the Arithmetic sequence:
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