What is the next character in the given series?
C $^{3}$ , F $^{6}$ , I $^{9}$ , L $^{12}$ , (........)

^{13}

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^{17}

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^{15}

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^{15}

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Solution

The correct option is D O $^{15}$
Two alternate series
Series I: increase by +3.
$L \to O$
Series II: powers are increasing by +3
$12 \to 15$
So, the next character in the series is $O^{15}$
Hence, option D is the correct answer.

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Similar questions

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

$\begin{matrix} A ↓ 26 \end{matrix} \begin{matrix} B ↓ 25 \end{matrix} \begin{matrix} C ↓ 24 \end{matrix} \begin{matrix} D ↓ 23 \end{matrix} \begin{matrix} E ↓ 22 \end{matrix} \begin{matrix} F ↓ 21 \end{matrix} \begin{matrix} G ↓ 20 \end{matrix} \begin{matrix} H ↓ 19 \end{matrix} \begin{matrix} I ↓ 18 \end{matrix} \begin{matrix} J ↓ 17 \end{matrix} \begin{matrix} K ↓ 16 \end{matrix} \begin{matrix} L ↓ 15 \end{matrix} \begin{matrix} M ↓ 14 \end{matrix} \begin{matrix} N ↓ 13 \end{matrix} \begin{matrix} O ↓ 12 \end{matrix} \begin{matrix} P ↓ 11 \end{matrix} \begin{matrix} Q ↓ 10 \end{matrix} \begin{matrix} R ↓ 9 \end{matrix} \begin{matrix} S ↓ 8 \end{matrix} \begin{matrix} T ↓ 7 \end{matrix} \begin{matrix} U ↓ 6 \end{matrix} \begin{matrix} V ↓ 5 \end{matrix} \begin{matrix} W ↓ 4 \end{matrix} \begin{matrix} X ↓ 3 \end{matrix} \begin{matrix} Y ↓ 2 \end{matrix} \begin{matrix} Z ↓ 1 \end{matrix}$

Note: Each alphabet is encoded to the number below it.
Using the given code, "G A L A X Y" can be encoded as ____.

Q. The average frequency is

18

. Find the missing frequency

f

Class Interval	Frequency
$11 - 13$	$7$
$13 - 15$	$6$
$15 - 17$	$9$
$17 - 19$	$13$
$19 - 21$	$f$
$21 - 23$	$5$
$23 - 25$	$4$

Re-arrange suitably and find the sum in each of the following :

(i) $\frac{11}{12} + \frac{- 17}{3} + \frac{11}{2} + \frac{- 25}{2}$

(ii) $\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}$

(iii) $\frac{3}{5} + \frac{7}{3} + \frac{9}{5} + \frac{- 13}{15} + \frac{- 7}{3}$

(iv) $\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}$

(v) $\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}$

(vi) $\frac{1}{8} + \frac{5}{12} + \frac{2}{7} + \frac{7}{12} + \frac{9}{7} + \frac{- 5}{16}$

Q. The mean of the following distribution is

18

. Find the frequency f of the class

19 - 21

Class	$11 - 13$	$13 - 15$	$15 - 17$	$17 - 19$	$19 - 21$	$21 - 23$	$23 - 25$
Frequency	$3$	$6$	$9$	$13$	$f$	$5$	$4$

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What is the next character in the given series?C3, F6, I9, L12, (........)

The correct option is D O15Two alternate seriesSeries I: increase by +3.L→OSeries II: powers are increasing by +312→15So, the next character in the series is O15Hence, option D is the correct answer.

What is the next character in the given series?
C $^{3}$ , F $^{6}$ , I $^{9}$ , L $^{12}$ , (........)

The correct option is D O $^{15}$
Two alternate series
Series I: increase by +3.
$L \to O$
Series II: powers are increasing by +3
$12 \to 15$
So, the next character in the series is $O^{15}$
Hence, option D is the correct answer.