Prove the following by using the principle of mathematical inductio...

Channel:
PW Solutions
Subscribers:
449,000
Published on ● Video Link: https://www.youtube.com/watch?v=kZUxUJjIabg


Duration: 7:52
1 views
0

Prove the following by using the principle of mathematical induction for all \( n \in \mathbf{N} \) :
\[
\frac{1}{1.4}+\frac{1}{4.7}+\frac{1}{7.10}+\ldots+\frac{1}{(3 n-2)(3 n+1)}=\frac{n}{(3 n+1)} .
\]
P
W
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-02-13TRUE OR FALSE : The standard reduction potential of \( \mathrm{Cl}^...
2023-02-13Convert each of the complex numbers given in the polar form: \( -3 ...
2023-02-13If the sublimation energy and enthalpy of fusion of \( \mathrm{I}_{...
2023-02-13A thermally insulated vessel is divided into two parts by a heat-in...
2023-02-13IUPAC name of the compound is P W (a) 4-ethyl-2-pentanol (b) 4-meth...
2023-02-13When \( p \) is plotted against \( 1 / \mathrm{V} \) for a fixed mass of gas at a constant tempe...
2023-02-13Draw the graph of the linear equation \( y=m x+c \) for \( m=2 \) and \( c=1 \). Read from the g...
2023-02-13TRUE OR FALSE : \( \mathrm{P} \)
2023-02-13Alka and Noori, two students of Class IX, together contributed ₹ 500 towards Prime Ministers Rel...
2023-02-13\( 2.49 \mathrm{~g} \) of a gas at \( 95^{\circ} \mathrm{C} \) occupied the same volume as \( 0....
2023-02-13Prove the following by using the principle of mathematical inductio...
2023-02-13The work of \( 146 \mathrm{~kJ} \) is performed in order to compres...
2023-02-13Density of a gas is found to be \( 5.46 \mathrm{~g} \mathrm{dm}^{-3} \) at \( 27^{\circ} \mathrm...
2023-02-13The melting of ice (a) is the phase transformation (b) takes place ...
2023-02-13The point \( (2,3) \) lies on the graph of the linear equation \( 3 \mathrm{x}-(a-1) \mathrm{y}=...
2023-02-13Express the following expression in the form of \( a+i b \) : \[ \f...
2023-02-13In the graph given below, the one which represents an alkali metal ...
2023-02-13Three numbers are chosen at random from the set \( \{0,1,2, \ldots,...
2023-02-13Two carnot engines A and B are operated in series. The first one A ...
2023-02-13In a power deficient country like India, natural gas is a precious ...
2023-02-13Prove the following by using the principle of mathematical inductio...


Tags:
pw