Which of the following is true for the infinite series $\sum _ { n = 1 } ^ { \infty } \frac { 3 n - 2 } { 14 n + 13 } ?$
A)Its sequence of partial sums is bounded from above.
B)Its sequence of partial sums is decreasing.
C) $\lim _ { n \rightarrow \infty } \frac { 3 n - 2 } { 14 n + 13 } = 0$
D)It is convergent.
E)It is divergent.

Question

Which of the following is true for the infinite series $\sum _ { n = 1 } ^ { \infty } \frac { 3 n - 2 } { 14 n + 13 } ?$ 
A)Its sequence of partial sums is bounded from above.
B)Its sequence of partial sums is decreasing.
C) $\lim _ { n \rightarrow \infty } \frac { 3 n - 2 } { 14 n + 13 } = 0$
D)It is convergent.
E)It is divergent.

Quizplus · Accepted Answer

The series diverges because the limit of the terms $\frac { 3 n - 2 } { 14 n + 13 }$ as $n$ approaches infinity is $\frac{3}{14}$, which is not zero.

Which of the Following Is True for the Infinite Series ∑n=1∞3n−214n+13?\sum _ { n = 1 } ^ { \infty } \frac { 3 n - 2 } { 14 n + 13 } ?∑n=1∞​14n+133n−2​?

Which of the Following Is True for the Infinite Series $\sum _ { n = 1 } ^ { \infty } \frac { 3 n - 2 } { 14 n + 13 } ?$