Match each series to the test that should be used to test for convergence/divergence. While it is possible that each test could apply to more than one series, in this exercise each is only used once. [infinity]
a. ∑2^n/n!
n=1

[infinity]
b. ∑n^2
n=1

[infinity]
c. ∑(-1)^n+1 (n+1)/(3n+1)
n=1

1. Alternating series.
2. Geometric series.
3. Ratio test.
4. nth term test.

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 33 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30 ∘c on monday, but decreased at a constant rate in the next 33 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.