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3, 12, 27, 48, 75, 108,

  • 141
  • 143
  • 145
  • 147

Answer: Option D

Explanation:

Series is having pattern
\begin{aligned}
3*1^2, 3*2^2, 3*3^2, ......\\
\text{Next will be } 3*7^2 = 147
\end{aligned}

Similar Questions :

1. 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}

2. 5,9,17,29,45, ?

  • 50
  • 60
  • 65
  • 70

Answer: Option C

Explanation:

In this series the pattern is +4, +8, +12, +16, so next will be +20

Term which will replace the question mark in this series will be 45+20 = 65

3. Complete the series, 1, 4, 9, 16, 25,....

  • 36
  • 38
  • 49
  • 52

Answer: Option A

Explanation:

Series Pattern is +3, +5, +7, +9.

So next number = 25+11 = 36

4. 6, 11, 21, 36, 56, ?
what will replace the question mark in the series ?

  • 75
  • 81
  • 85
  • 89

Answer: Option B

Explanation:

Pattern is +5, +10, + 15, +20

Next number in the series will be 56 + 25 = 81

5. 8, 9, 8, 7, 10, 9, 6, 11, 10, (...), 12

  • 7
  • 6
  • 5
  • 4

Answer: Option C

Explanation:

Please note that above sequence is containing 3 series
Series 1 : 8, 7, 6, (..)
Series 2 : 9, 10, 11, 12
Series 3 : 8, 9, 10

In series 1 pattern is -1. So missing term will be 6-1 = 5

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