1.
1) A sequence is said to be bounded if it is .........
(a) bounded above
(b) bounded below
(C) both(a) and (b)
(d) none
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Answer:
A sequence is bounded if it is bounded above and below, that is to say, if there is a number, k, less than or equal to all the terms of sequence and another number, K', greater than or equal to all the terms of the sequence. Therefore, all the terms in the sequence are between k and K'
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ANSWER:
(C) both (a) and (b)
EXPLANATION:
A sequence is bounded if it is bounded above and below, that is to say, if there is a number, k, less than or equal to all the terms of sequence and another number, K', greater than or equal to all the terms of the sequence. Therefore, all the terms in the sequence are between k and K'.
k ≤ an ≤ K'
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