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Complete the series
1,6,13,22,33,...

  • 46
  • 48
  • 49
  • 51

Answer: Option A

Explanation:

Pattern is +5, +7, +9, +11
So next number will be +13
=> 33+13 = 46

Similar Questions :

1. Which fraction will come next, \begin{aligned} \frac{1}{2}, \frac{3}{4}, \frac{5}{8}, \frac{7}{16}, ? \end{aligned}

  • \begin{aligned} \frac{11}{32} \end{aligned}
  • \begin{aligned} \frac{9}{28} \end{aligned}
  • \begin{aligned} \frac{9}{30} \end{aligned}
  • \begin{aligned} \frac{9}{32} \end{aligned}

Answer: Option D

Explanation:

Numerators of the fractions in the given sequence are getting increased by 2, i.e. 1+2,3+2,5+2, so next will be 7+2 = 9

Denominators of the fractions in the series is getting doubled, 2*2 = 4, 4*2 = 8, 8*2 = 16, no next will be 16*2 = 32

So resulting fraction will be
\begin{aligned}
\frac{9}{32}
\end{aligned}

2. In the series 2, 6, 18, 54, ... what will be the 8th term ?

  • 4174
  • 4150
  • 4274
  • 4374

Answer: Option D

Explanation:

We can see the given series is in G.P.
as 2*3 = 6, 6*3 = 18, 18*3 = 54
So a = 2 , r = 3
nth term in G.P. is
\begin{aligned}
ar^{n-1} \\
= 2*3{8-1} \\
= 2*3^7 \\
= 2*2187 = 4374
\end{aligned}

3. 1,1,3,9,6,36,10,100,(..),225

  • 12
  • 13
  • 14
  • 15

Answer: Option D

Explanation:

Given sequence is combination of two series
Series 1 : 1,3,6,10,..
Series 2 : 1,9,36,100,225

In series 1 pattern is +2, +3, +4. So next term will be
10+5 = 15

4. 8, 10, 14, 18, (...), 34, 50, 66

  • 20
  • 24
  • 26
  • 28

Answer: Option C

Explanation:

Patten is +2, +4, +4, .., .., +16, +16

Missing number will be 18+8 = 26

5. 1,2,6,24, ?

  • 110
  • 118
  • 120
  • 122

Answer: Option C

Explanation:

Pattern is *2, *3, *4
So next number is the series will be *5
24*5 = 120

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