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.

42

step-by-step explanation:

256/6=42

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )

mnkjn

step-by-step explanation: