What should come at the place of question mark? 2, 3, 7, 8, 26, 27, 111, 112, ?
564
564 is correct.
The series is built in pairs: (2, 3), (7, 8), (26, 27), (111, 112). Inside each pair the second term is the first term plus 1.
The first term of each new pair comes from the second term of the previous pair, with the multiplier and the added number both rising by 1 each time:
\(3 \times 2 + 1 = 7\)
\(8 \times 3 + 2 = 26\)
\(27 \times 4 + 3 = 111\)
The next step uses \(\times 5 + 4\): \(112 \times 5 + 4 = 560 + 4 = 564\).
The term after 112 must open a new pair, so it is the first term of that pair; 565 would be its partner, while 432 and 433 do not fit the multiply-and-add rule. Hence, the missing number is 564.
Similar Questions
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P _ I _ Y _ O _ U Y P _ K U _ P O _ _ Y
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Important Questions from Number Series
What will come in place of question mark (?) in the following number series?
2, 5, 11, 23, 44, 77, ?
What will come in place of question mark (?) in the following number series?
31, 32, 36, ?, 61, 86
What will come in the place of question mark (?) in the following number series?
3, 6, 18, ?, 630, 6930
What should come in place of the question mark ‘?’ in the following number series?
60, 40, 50, ?, 180, 460
A series is given with one term wrong. Select that wrong term from the given alternatives.
J12, M24, P48, S96, U192
