Examine the two series below for absolute convergence (A), convergence that is not absolute (C), or divergence (D).
1) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 2 ) 3 ^ { n } } { 2 ^ { 2 n + 1 } }$
2) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 3 ) 2 ^ { 2 n } } { 3 ^ { n + 100 } }$
A)1A, 2A
B)1A, 2C
C)1A, 2D
D)1C, 2A
E)1C, 2C
F)1C, 2D
G)1D, 2A
H)1D, 2C

Question

Examine the two series below for absolute convergence (A), convergence that is not absolute (C), or divergence (D).
1) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 2 ) 3 ^ { n } } { 2 ^ { 2 n + 1 } }$ 
2) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 3 ) 2 ^ { 2 n } } { 3 ^ { n + 100 } }$ 
A)1A, 2A
B)1A, 2C
C)1A, 2D
D)1C, 2A
E)1C, 2C
F)1C, 2D
G)1D, 2A
H)1D, 2C

Quizplus · Accepted Answer

The Answer of Examine the two series below for absolute convergence (A), convergence that is not absolute (C), or divergence (D).
1) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 2 ) 3 ^ { n } } { 2 ^ { 2 n + 1 } }$ 
2) $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 3 ) 2 ^ { 2 n } } { 3 ^ { n + 100 } }$ 
A)1A, 2A
B)1A, 2C
C)1A, 2D
D)1C, 2A
E)1C, 2C
F)1C, 2D
G)1D, 2A
H)1D, 2C

Examine the Two Series Below for Absolute Convergence (A), Convergence ∑n=1∞(−1)n−1(n+2)3n22n+1\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 2 ) 3 ^ { n } } { 2 ^ { 2 n + 1 } }∑n=1∞​(−1)n−122n+1(n+2)3n​

Examine the Two Series Below for Absolute Convergence (A), Convergence $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n - 1 } \frac { ( n + 2 ) 3 ^ { n } } { 2 ^ { 2 n + 1 } }$