Sum to \( n \) terms the following series:
\[
1 \times 2+2 \times 2^{2}+3 \times 2^{3}+4 \times ... VIDEO
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\[
\frac{a^{2}+a b+b^{2}}{b c+c a+a b}=\frac{b+a}{... 2022-11-19 Assertion (A): The amount and seasonal distribution of rainfall play a very important role for t... 2022-11-19 If \( a_{1}, a_{2}, a_{3}, \ldots, a_{n} \) are in A.P. and \( a_{i}0 \) for all \( i \), then s... 2022-11-19 If the sum to infinity of the series \( 3+5 r+7 r^{2}+\ldots \) is \( 4 \frac{8}{9} \), find \( ... 2022-11-19 Sum to \( n \) terms the following series: \[ 1-\frac{2}{3}+\frac{3}{9}-\frac{4}{27}+\ldots \] 2022-11-19 Sum to infinity the following series: \[ 1+4 x^{2}+7 x^{4}+10 x^{6}+\ldots,|x|1 . \] 2022-11-19 Show that \( 3^{1 / 3} \cdot 9^{1 / 9} \cdot 27^{1 / 27} \ldots \) to \( \infty=3^{3 / 4} \). 2022-11-19 Sum the series \( 1+2 \cdot 2+3 \cdot 2^{2}+\ldots+100 \times 2^{99} \). 2022-11-19 Sum to \( n \) terms the following series: \[ 2 \times 1+3 \times 2+4 \times 4+5 \times 8+\ldots \] 2022-11-19 Sum to \( n \) terms the following series: \[ 1+2 x+3 x^{2}+4 x^{3}+\ldots,|x|1 \] 2022-11-19 Sum to \( n \) terms the following series:
\[
1 \times 2+2 \times 2^{2}+3 \times 2^{3}+4 \times ... 2022-11-19 Assertion (A): The value of current through \( p-n \) junction diode shown in figure will be \( ... 2022-11-19 Sum to \( n \) terms the following series: \[ 1+3 x+5 x^{2}+7 x^{3}+\ldots,|x|1 \] 2022-11-19 Sum to \( n \) terms the following series: \[ 1+4 x+7 x^{2}+10 x^{3}+\ldots,|x|1 \] 2022-11-19 Sum to \( n \) terms the following series : \[ 1+5 x^{2}+9 x^{4}+13 x^{6}+\ldots,|x|1 \] 2022-11-19 Xeric environment is characterised by :
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(B) low atmospheric humidity
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