Either give an example of sequences (sn) and (tn) satisfying the properties or explain why such sequences do not exist.

(a) (sn) converges, (tn) diverges, (sn + tn) converges.
(b) (sn) converges, (tn) diverges, (sntn) converges.
(c) (sn) diverges, (tn) diverges, (sntn) converges.
(d) (sn) is bounded, (tn) converges, (sntn) diverges.
(e) (sn) converges, (tn) converges, tn 6= 0 for all n, ( sn tn ) diverges.

This question awards 100 ! i really don’t want to fail i will also mark you !

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Colby and jaquan are growing bacteria in an experiment in a laboratory. colby starts with 50 bacteria in his culture and the number of bacteria doubles every 2 hours. jaquan starts with 80 of a different type of bacteria that doubles every 3 hours. let x equal number of days. colbys experiment follows the model: a.) y=50*2^x b.) y=50*2^8x c.) y=50*2^12x jaquans experiment follows the model: a.)80*2^x b.)80*2^8x c.)80*2^12x