The sum of 20 terms of the series whose \( n^{\text {th }} \) term is given by \( T(n)=(-1)^{n} ... VIDEO
The sum of 20 terms of the series whose \( n^{\text {th }} \) term is given by \( T(n)=(-1)^{n} \frac{n^{2}+n+1}{n !} \)https://bit.ly/YTAI_PWAP https://www.pw.live
Other Videos By PW Solutions 2023-07-03 Comprehension arithmetic means between -2 and 1027
Let \( A_{1}, A_{2} \ldots, A_{m} \) be the a... 2023-07-03 The consecutive digits of a three digit number are in G.P. If the middle digit be increased by 2... 2023-07-03 Let \( a, b, c \) be the sides of a triangle whose perimeter is \( P \) and area is \( A \), the... 2023-07-03 For the series, \( S=1+\frac{1}{(1+3)}(1+2)^{2}+\frac{1}{(1+3+5)}(1+2+3)^{2} \)
\[
+\frac{1}{(1+... 2023-07-03 Consider a cuboid all of whose edges are integers and whose base is square. Suppose the sum of a... 2023-07-03 Let \( x, y, z \) be positive reals. Which of the following implies \( x=y=z \) ?
I. \( x^{3}+y^... 2023-07-03 The line \( x+y=1 \) meets \( x \)-axis at \( A \) and \( y \)-axis at \( B, P \) is the mid-poi... 2023-07-03 Suppose \( a, b, c \) are in A.P. and \( \mathrm{a}^{2}, \mathrm{~b}^{2}, \mathrm{c}^{2} \) are ... 2023-07-03 Let \( a \) and \( b \) be two positive real numbers such that \( a+2 b \leq 1 \). Let \( A_{1} ... 2023-07-03 If \( a=\underbrace{111 \ldots \ldots \ldots 1}_{55}, b=1+10+10^{2}+10^{3}+10^{4} \) and \( c=1 ... 2023-07-03 The sum of 20 terms of the series whose \( n^{\text {th }} \) term is given by \( T(n)=(-1)^{n} ... 2023-07-03 If \( x, y \), and \( z \) are distinct prime numbers, then
(a) \( x, y \) and \( z \) may be in... 2023-07-03 In a geometric series, the first term is a and common ratio is \( r \).
If \( S_{n} \) denotes t... 2023-07-03 If \( a, b, c \) are positive real numbers representing the sides of a scalene triangle. prove t... 2023-07-03 If \( \frac{b+c-a}{a}, \frac{c+a-b}{b}, \frac{a+b-c}{c} \) are in A.P. then prove \( -\frac{1}{a... 2023-07-03 Prove that \( \left[\frac{a^{2}+b^{2}}{a+b}\right]^{a+b}a^{a} b^{b} \) 2023-07-03 Show that number \( \underbrace{1111 \ldots .1}_{91 \text { digits }} \) is a composite number. 2023-07-03 After travelling for 30 minutes a train meets with an accident, due to which it has to stop for ... 2023-07-03 If 8 harmonic means are inserted between two numbers \( a \) and \( b(ab) \) such that arithmeti... 2023-07-03 If positive number \( x, y, z \) are in A.P. then the minimum value of \( \frac{x+y}{2 y-x}+\fra... 2023-07-03 If \( a=\sum_{r=1}^{\infty} \frac{1}{r^{2}}, b=\sum_{r=1}^{\infty} \frac{1}{(2 r-1)^{2}} \), the...
0