COMEDK · Maths · 5. Sequences and Series
\(\frac{1}{2 \cdot 5}+\frac{1}{5 \cdot 8}+\frac{1}{8 \cdot 11}+\ldots \frac{1}{(3 n-1)(3 n+2)}=\)
- A \(\frac{n}{6 n+3}\)
- B \(\frac{n}{6 n-4}\)
- C \(\frac{n+1}{6 n+4}\)
- D \(\frac{n}{6 n+4}\)
Answer & Solution
Correct Answer
(D) \(\frac{n}{6 n+4}\)
Step-by-step Solution
Detailed explanation
Let \(S_{n}=\frac{1}{2 \times 5}+\frac{1}{5 \times 8}+\frac{1}{8 \times 11}+\ldots\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The value of \(\int \frac{x^{2}+1}{x^{2}-1} d x\) isCOMEDK 2020 Medium
- \(\int \frac{\left(x^{3}+3 x^{2}+3 x+1\right)}{(x+1)^{5}} d x=\)COMEDK 2016 Medium
- If \(y=|\cos x|+|\sin x|\), then \(\frac{d y}{d x}\) at \(x=\frac{2 \pi}{3}\) isCOMEDK 2015 Easy
- Find the area bounded by the curve \(y = |2 - x|\), the \(x\)–axis, and the lines \(x = 0\) and \(x = 5\)COMEDK 2026 Medium
- Distance of the point \((-2,3)\) from the line \(12 x-5 y-2=0\) is \(\dfrac{41}{k}\). Then the value of \(k\) isCOMEDK 2025 Easy
- If \(a=\hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}, b=2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}}\) and \(c=\hat{\mathbf{i}}-\hat{\mathbf{k}}\), then the unit vector in the direction of \(a-b+c\) isCOMEDK 2024 Easy
More PYQs from COMEDK
- If \(A=\left[\begin{array}{ccc}1 & -1 & 1 \\ 2 & 1 & -3 \\ 1 & 1 & 1\end{array}\right], 10 B=\left[\begin{array}{ccc}4 & 2 & 2 \\ -5 & 0 & \alpha \\ 1 & -2 & 3\end{array}\right]\) a is the inverse of \(A\), then the value of \(\alpha\) isCOMEDK 2020 Medium
- The radius of a nucleus as measured by electron scattering is \(4.8 \mathrm{~fm}\). The mass number of nucleus is most likely to beCOMEDK 2024 Easy
- How many \(6 \mu \mathrm{F}, 200 \mathrm{~V}\) condensers are needed to make a condenser of \(18 \mu \mathrm{F}, 600 \mathrm{~V}\) ?\COMEDK 2018 Medium
- According to Molecular orbital theory, which of the following is correct with respect to bond order?COMEDK 2026 Medium
- The mean energy per molecule for a diatomic gas is:COMEDK 2025 Easy
- Identify the two incorrect electrochemical reactions shown as taking place in the given cells at the respective electrodes.
Cell Electrode Reaction Lead-Storage Cell Cathode \(Pb + 2SO_4^{2-} + 4H^+ + 2e^- \to PbSO_4 + 2H_2O + SO_2\) Leclanche Cell Cathode \(MnO_2 + NH_4^+ + 2e^- \to MnO + OH + NH_3\) Mercury Cell Anode \(Zn/Hg + 2OH^- \to ZnO(s) + H_2O + 2e^-\) Fuel Cell Cathode \(O_2(g) + 2H_2O + 4e^- \to 4OH^-\) COMEDK 2025 Medium