Consider the sequence(an)n≥1that starts1,3,5,7,9,...(i.e, the odd numbers in order).
(a) Give a recursive definition and closed formula for the sequence.
(b) Write out the sequence(bn)n≥2 of partial sums of (an). Write down the recursive definition for (bn) and guess at the closed formula.
(b) How did you get the partial sums?
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