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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}

Similar Questions :

1. 20, 19, 17, (...) , 10, 5

  • 16
  • 12
  • 15
  • 14

Answer: Option D

Explanation:

Pattern in the series is -1, -2, .., .. , -5

So next term will be 17 - 3 = 14

2. Which number should be replaced with x in following series :

2, 3, 5, 7, 11, x, 17

  • 12
  • 13
  • 14
  • 15

Answer: Option B

Explanation:

Above series contains prime number series. So after 11, 13 is next prime number.

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

  • 58
  • 64
  • 65
  • 80

Answer: Option C

Explanation:

Pattern in the series is +4, +8, +12, +16.
Next term will be 45 + 20 = 65

5. 4, 10, (?), 82, 244, 730

  • 26
  • 28
  • 40
  • 48

Answer: Option B

Explanation:

Each number in the series is the preceding number multiplied by 3 and then decreased by 2.

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