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Question Detail
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}
1. 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.
2. 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
3. 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
4. Complete the series 95, 115.5, 138, ..., 189
- 160.5
- 162.5
- 164.5
- 166.5
Answer: Option B
Explanation:
Pattern in the series is, +20.5 , +22.5,
Next will be +24.5
138 + 24.5 = 162.5
5. 1, 2, 5, 12, 27, 58, 121, ?
- 248
- 244
- 198
- 190
Answer: Option A
Explanation:
Pattern in the series is *2+1, *2+2, *2+3,.....
Term which replaces the question mark in the series is
121 * 2 + 6 = 248
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