7
QuizMultiple Choice

Limits as They Relate to Sequences and Series — Quiz

Question 7 • Precalculus

Which statement describes the series? the sum from n is equal to 1 to infinity of 3 fourths

Answer
A
The series converges and it has a sum of 2 .
B
The series converges and it has a sum of 3 fourths .
C
The series diverges and it does not have a sum.
D
The series diverges and it has a constant ratio of 3 fourths.

Explanation

Each term of the series is 3/4, so the partial sum after n terms is n × 3/4. These partial sums grow without bound as n increases, rather than approaching a finite value. Therefore, the series diverges and does not have a sum, as stated in choice C.

AI-written and checked against the verified answer.

Previous
Next