By using "Principle of Mathematical Induction", prove \( \mathrm{P}...

Channel:
PW Solutions
Subscribers:
451,000
Published on ● Video Link: https://www.youtube.com/watch?v=3otZhC3CDDU


Duration: 2:53
0 views
0

By using "Principle of Mathematical Induction", prove
\( \mathrm{P} \) that for all \( n \in N \) :

W
\[
a+a r+a r^{2}+\ldots+a r^{n-1}=\frac{a\left(r^{n}-1\right)}{r-1}
\]
📲PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-04-07Convert \( 4\left(\cos 300^{\circ}+i \sin 300^{\circ}\right) \) int...
2023-04-07Most of the formulae are verified on the basis of \( \mathrm{P} \) ...
2023-04-07The polar form of complex number \( \sqrt{3}+i \) is: \( \mathrm{P}...
2023-04-07By using "Principle of Mathematical Induction", prove \( \mathrm{P}...
2023-04-07For every positive integer \( \mathrm{P} \) \[ \frac{n^{7}}{7}+\fra...
2023-04-07If \( n \in N \), then \( 3^{(4 n+2)}+5^{(2 n+1)} \) is a multiple ...
2023-04-07\( 11^{n+2}+12^{2 n+1} \) is divisible by \( K \) for every natural...
2023-04-07Prove by the method of induction that: \( \mathrm{P} \) \[ 2+5+8+11...
2023-04-07If \( a_{n}=\sqrt{7+\sqrt{7+\sqrt{7 \ldots \ldots}}} \) having \( \...
2023-04-072. \( 4^{2 n+1}+3^{3 n+1} \) is divisible by for all \( n \in N \) ...
2023-04-07By using "Principle of Mathematical Induction", prove \( \mathrm{P}...
2023-04-07Let \( P(n) \) denotes the statement that \( n^{2}+n \) is odd. \( ...
2023-04-07For all \( n \in N, \sum n \) \( \mathrm{P} \) (1) \( \frac{(2 n+1)...
2023-04-07A data has highest value 120 and lowest value 71. A P frequency dis...
2023-04-07The proposition that is not true for \( n1(n \in N) \), \( \mathrm{...
2023-04-07Prove by the principle of mathematical induction that \( \mathrm{P}...
2023-04-07For all \( n \in N, n^{4} \) is less than: \( \mathrm{P} \) (1) \( ...
2023-04-07The nth term of the series \( \mathrm{P} \) \( 4+14+30+52+80+114+\l...
2023-04-07\( x\left(x^{(n-1)}-n \alpha^{(n-1)}\right)+\alpha^{n}(n-1) \) is d...
2023-04-07The correlation coefficient between \( x \) and \( y \) from the \(...
2023-04-07The sum of the series \( \mathrm{P} \) \( \frac{3}{1^{2}}+\frac{5}{...


Tags:
pw