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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
- IIT JAM
- Mathematics (MA)
What is finite sequence and infinite sequence, explain with examples ?
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Priyadarshan Choursiya![best-answer]()
a sequence is finite if it is bounded I.e. we can find two real numbers (which are finite) such that all terms of sequence lie in that numbers. eg. An= (-1)^n , for this we have -2 and 2 such that -2 < An < 2 for all n . An = c , a constant sequence, c-1,c+1 is that real no. An = sequence which converges like 1÷n. An = sequence which oscillates finitely. An= sin(n) __________-________________________________ if we are not able to find such two real numbers then sequence are infinite. because they goes to infinite so we call them infinite sequence. eg, divergent and infinite oscillating sequence. An= tan(n), An= n, An= prime numbers I.e.{p1,p2, - - -} An= (-1=)^n × n, this is infinite oscillate sequence