Let {an} be a summable sequence and r a real number. Define a new sequence {on } by br = ran. Prove that {on} is summable and that 00 an.
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math31002.png

Let {an} be a summable sequence and r a real number. Define a new
sequence {on } by br = ran. Prove that {on} is summable and that
00
an.
n=1
n=1

Top Answer

We know that n = 1 b n = n = 1 r a n Now let's use proof by induction to... View the full answer

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