Hello I need help with the following math questions:

Which of the alternatives CORRECTLY defines a series?

to. A series is a sequence of real numbers.

b. A series is an infinite sequence.

c. A series is a sequence of partial sums.

d. A series is a sum of numbers.

12. Which of the alternatives is CORRECT?

to. In a convergent series the sum does not stop growing if we do not stop adding.

b. In a divergent series the sum does not stop growing if we do not stop adding.

c. In a convergent series the sum does not stop growing if we stop adding.

d. In a divergent series the sum does not stop growing if we stop adding.

13. Which of the alternatives is FALSE?

to. Partial sums can always be calculated.

b. If a series diverges, the limit of the partial sums does not exist.

c. The sum (3 + 5 + 7 + .....) is arithmetic

d. The sum (2 + 1 + 12 +....) diverges.

14. Which of the alternatives is FALSE?

to. If 5, 8, 11, ..... then a11= 35.

b. If 1, 1/2, 1/4, .... then S5 = 31/16

c. If 2, 4, 8, .... then an+1 = an + 2

d. If 1, 3, 9, .... then an+1 = 3an