Recent questions tagged number-series - GATE CSE Doubts

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TIFR-GS2021 Question
Find the following sum $\frac{1}{2^2 – 1} + \frac{1}{4^2 – 1} + \frac{1}{6^2 – 1} + … + \frac{1}{40^2 – 1}$ (A) $\frac{20}{41}$ (B) $\frac{10}{41}$ (C) $\frac{10}{21}$ (D) $\frac{20}{21}$ (E) $1$

asked Mar 24 in Calculus by zxy123 (3.6k points) | 29 views

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GATE2013-61 Video Solution
Find the sum of the expression $\frac{1}{\sqrt{1}+\sqrt{2}}+\frac{1}{\sqrt{2}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{4}}+............+\frac{1}{\sqrt{80}+\sqrt{81}}$ $7$ $8$ $9$ $10$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 7 views

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GATE2013 EE: GA-10 Video Solution
Find the sum to $'n'$ terms of the series $10+84+734+\dots$ $\frac{9(9^n+1)}{10} +1$ $\frac{9(9^n-1)}{8} +1$ $\frac{9(9^n-1)}{8} +n$ $\frac{9(9^n-1)}{8} +n^2$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 8 views

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GATE2014 EC-3: GA-4 Video Solution
The next term in the series $81, 54, 36, 24,\dots $ is_________.

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 5 views

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GATE2014-3-GA-4 Video Solution
Which number does not belong in the series below? $\qquad2, 5, 10, 17, 26, 37, 50, 64$ $17$ $37$ $64$ $26$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 8 views

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GATE2014-2-GA-5 Video Solution
The value of $\sqrt{12+\sqrt{12+\sqrt{12+\dots}}} $is $3.464$ $3.932$ $4.000$ $4.444$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 5 views

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GATE2014 EC-1: GA-5 Video Solution
What is the next number in the series? $12$ $35$ $81$ $173$ $357$ _______.

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 5 views

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GATE2014 EC-3: GA-6 Video Solution
Find the next term in the sequence: $7G, 11K, 13M$, _________. $15Q$ $17Q$ $15P$ $17P$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 6 views

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GATE2014 EC-2: GA-5 Video Solution
Fill in the missing number in the series. $2$ $3$ $6$ $15$ ___ $157.5$ $630$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 4 views

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GATE2018 EC: GA-4 Video Solution
What is the value of $1 + \dfrac{1}{4} + \dfrac{1}{16} + \dfrac{1}{64} + \dfrac{1}{256} + .............?$ $2$ $\dfrac{7}{4}$ $\dfrac{3}{2}$ $\dfrac{4}{3}$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 7 views

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GATE2010 TF: GA-7 Video Solution
Consider the series $\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{8}+\frac{1}{9}-\frac{1}{16}+\frac{1}{32}+\frac{1}{27}-\frac{1}{64}+\ldots.$ The sum of the infinite series above is$:$ $\infty$ $\frac{5}{6}$ $\frac{1}{2}$ $0$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 9 views

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GATE2018 CE-1: GA-9 Video Solution
Consider a sequence of numbers $a_1, a_2, a_3, \dots , a_n$ where $a_n = \frac{1}{n}-\frac{1}{n+2}$, for each integer $n>0$. Whart is the sum of the first 50 terms? $\left( 1+ \frac{1}{2} \right) - \frac{1}{50}$ ... $1 - \left( \frac{1}{51} + \frac{1}{52} \right)$

asked Apr 18, 2020 in Numerical Ability by admin (573 points) | 5 views

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