How can the next term in the infinite sequence 1, 5, 12, 22, 35, be generated? square the term number, subtract the term number from the result, multiply by 3, and divide the result by 2. square the term number, multiply the result by 3, divide by 2, and subtract the term number from the result. square the term number, divide the result by 2, subtract the term number, and multiply the result by 3. square the term number, multiply the result by 3, subtract the term number, and divide the result by 2.

Aiden drives to school and back each day. the school is 16 miles from his home. he averages 40 miles per hour on his way to school. if his trip takes 1 hour, at approximately what speed does aiden drive home?

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Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.