Exercise"In the middle of difficulty lies opportunity."
- Albert Einstein
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Choose the correct alternative that will continue the same pattern and replace the question mark in the given series.
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| 6. |
1, 1, 4, 8, 9, 27, 16, ? |
Answer: Option D
Explanation:
The series consists of squares and cubes of consecutive natural numbers i.e. 12, 13, 22, 23, 32, 33, 42, ..... So, missing term = 43 = 64.
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| 7. |
1, 2, 3, 6, 9, 18, ?, 54 |
Answer: Option C
Explanation:
The pattern is x 2, x 3/2, x 2, x 3/2, x 2,..... So, missing term = 18 x 3/2 = 27.
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| 8. |
6, 13, 25, 51, 101, ? |
Answer: Option C
Explanation:
The pattern is x 2 + 1, x 2 - 1, x 2 + 1, x 2 - 1,..... So, missing term = 101 x 2 + 1 = 203.
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| 9. |
5,6,9, 15, ?, 40 |
Answer: Option E
Explanation:
The pattern is + 1, + 3, + 6,....., i.e. + 1, + (1, + 2), + (1 + 2 + 3),..... So, missing term = 15 + (1 + 2 + 3 + 4) = 25.
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| 10. |
1, 3, 4, 8, 15, 27, ? |
Answer: Option B
Explanation:
The sum of any three consecutive terms of the series gives the next term. So, missing number = 8 + 15 + 27 = 50.
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