Use the Ratio Test to Examine the Two Series Below $\sum _ { n = 1 } ^ { \infty } n ^ { - 100 }$

Multiple Choice

Use the Ratio Test to examine the two series below, stating: absolute convergence (A) , divergence (D) , or Ratio Test inconclusive (I) .
1) $\sum _ { n = 1 } ^ { \infty } n ^ { - 100 }$
2) $\sum _ { n = 1 } ^ { \infty } 100 ^ { - n }$

A) 1A, 2A
B) 1A, 2D
C) 1A, 2I
D) 1D, 2A
E) 1D, 2D
F) 1D, 2I
G) 1I, 2A
H) 1I, 2D