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GATE2019: 13
soujanyareddy13
asked
in
Calculus
Nov 3, 2020
retagged
Mar 18, 2021
by
Lakshman Patel RJIT
0
votes
0
votes
Which of the following are geometric series?
$1,\:6,\:11,\:16,\:21,\:26,\:\dots$
$9,\:6,\:3,\:0,\:-3,\:-6,\:\dots$
$1,\:3,\:9,\:27,\:81,\:\dots$
$4,\:-8,\:16,\:-32,\:64,\:\dots$
$P$ and $Q$ only
$R$ and $S$ only
$Q$ and $S$ only
$P, Q$ and $R$ only
gate2019
calculus
sequences-and-series
infinite-series
geometric-series
soujanyareddy13
asked
in
Calculus
Nov 3, 2020
retagged
Mar 18, 2021
by
Lakshman Patel RJIT
by
soujanyareddy13
2.7k
points
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Answer:
B
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GATE2020: 51
An infinite series $S$ is given as: $S=1+2/3+3/9+4/27+5/81+\:.\dots$ (to infinity) The value of $S$ is ______________________ (round off to $2$ decimal places).
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Consider the following infinite series: $1+ r+r^2 +r^3+ \dots \dots \infty$ If $r = 0.3$, then the sum of this infinite series is ____________
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If $1+r + r^2+ r^3 +\dots \infty = 1.5$, then, $1 + 2r + 3r^2 + 4r^3 + \dots \infty = $ (up to two dcimal places) ________
gatecse
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Feb 20, 2018
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go_editor
asked
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GATE BT 2021 | Question: 20
The sum of the infinite geometric series $1 + 1/3 + 1/3^2+ 1/3^3+ \dots$ (rounded off to one decimal place) is ___________
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soujanyareddy13
asked
in
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Nov 3, 2020
GATE2019: 21
The solution of $ \underset{x\rightarrow 8 }\lim\left ( \dfrac{x^{2}-64}{x-8} \right )$ is _____________.
soujanyareddy13
asked
in
Calculus
Nov 3, 2020
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2.7k
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gate2019
numerical-answers
calculus
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