For each of the following statements, determine whether it is true or false and justify your answer (give proof or counterexample).
(1) If the sequence (a2n) converges, then sequence (an) also converges.
(2) If the sequence (an bn) converges, then the sequences (an) and (bn) also converge.
(3) If the sequence (|an|) converges, then the sequence (an) also converges.

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?

Awasher and a dryer cost $701 combined. the washer costs $51 more than the dryer. what is the cost of the dryer?

An account with a $250 balance accrues 2% annually. if no deposits or withdrawals are made, which graph can be used to determine approximately how many years will it take for the balance to be $282? it's e2020 ni️️as