Sequences and Series
- Find out the next term in the series 7, 11, 13, 17, 19, ...
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Given series is a consecutive prime number series.
Correct Option: B
Given series is a consecutive prime number series. Therefore, the next term will be 23.
- Find the missing term 6, ?, 21, 33, 48
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Series Pattern
+6, +9, +12, +15...Correct Option: C
Series Pattern
+6, +9, +12, +15....
∴ Missing term = 6 + 6 = 12
- Find the value of the expression 1 - 2 + 3 - 4 + 5 - 6 + 7 + .... upto 100 terms . ?
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(1 - 2) = -1
(3 - 4) = -1
(5 - 6) = -1
Correct Option: D
(1 - 2) = -1
(3 - 4) = -1
(5 - 6) = -1
and so on.
∴ Total terms of -1 will be 50.
∴ Answer = -1 x 50 = -50
- If A represents the arithmetic mean, H represents the harmonic mean and G represents the geometric mean, then what is the relation between them ?
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A = (a + b)/2,
1/H = (1/a + 1/b)/2
⇒ H = 2ab/(a +b),
G = √abCorrect Option: B
A = (a + b)/2,
1/H = (1/a + 1/b)/2
⇒ H = 2ab/(a +b),
G = √ab
∴ A x H = {(a + b)/2} x {2ab/(a + b)} = ab = G2
∴ A x H = G2
- 4, 12, 36, ?, 324, 972
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Series pattern
Every next element = 3 x previous elementCorrect Option: A
Series pattern
Every next element = 3 x previous element
∴ Missing term = 3 x 36 = 108