>
Exams
>
Mathematics
>
Principle of Mathematical Induction
>
the infinite series n 1 3 n 4 n 2 is
Question:
The infinite series
\(\displaystyle\sum_{n=1}^{∞} \frac{3^n}{4^{n+2}}\)
is:
CUET (PG) - 2023
CUET (PG)
Updated On:
Mar 12, 2025
Divergent to ∞
Converges to 1/16
Converges to 3/16
Converges to 1/4
Hide Solution
Verified By Collegedunia
The Correct Option is
C
Solution and Explanation
The correct option is(C):Converges to 3/16
Download Solution in PDF
Was this answer helpful?
0
0
Top Questions on Principle of Mathematical Induction
Sum of the series
\(\frac {1}{1-3.1^2+1^4}+\frac {2}{1-3.2^2+2^4}+\frac {3}{1-3.3^2+3^4}\)
upto
\(10\)
terms is _____ .
JEE Main - 2024
Mathematics
Principle of Mathematical Induction
View Solution
If n
\(\in\)
[10,100] and n
\(\in\)
N, then how many such n are possible where 3n - 3 is divisible by 7?
JEE Main - 2023
Mathematics
Principle of Mathematical Induction
View Solution
The given series
\(\frac{x}{1.3}+\frac{x^2}{2.4}+\frac{x^3}{3.5}+......,(x\gt0)\)
is convergent in the interval
CUET (PG) - 2023
Mathematics
Principle of Mathematical Induction
View Solution
If
\(f(z)=\frac{1}{z^2-3z+2}\)
is expanded in the region |z|<1, then
CUET (PG) - 2023
Mathematics
Principle of Mathematical Induction
View Solution
The infinite series
\(\displaystyle\sum_{n=1}^{∞} (1+\frac{1}{n})^{-n^2}\)
is:
CUET (PG) - 2023
Mathematics
Principle of Mathematical Induction
View Solution
View More Questions
Questions Asked in CUET PG exam
What is the correct verb form: He, as well as his friends, ?
CUET (PG) - 2025
Verbs
View Solution
Which preposition is correct: Chanakya lived ?
CUET (PG) - 2025
Prepositions
View Solution
Identify the possessive noun: My office car is parked elsewhere.
CUET (PG) - 2025
Nouns
View Solution
Which tense is appropriate: How did Saira ?
CUET (PG) - 2025
Tenses
View Solution
Complete the sentence: There is a growing synthesis between humanism and ?
CUET (PG) - 2025
Sentence Completion
View Solution
View More Questions