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Which number will come next in the following series
3, 12, 27, 48, 75, 108, ..?..
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The numbers are 3 × 1², 3 × 2², 3 × 3², 3 × 4², 3 × 5², 3 × 6², …… ∴ Missing number = 3 × 7² = 3 × 49 = 147
8,15,28,53, ..?..
8 × 2 – 1 = 15, 15 × 2 – 2 = 28, 28 × 2 – 3 = 53, 53 × 2 – 4 =102
Which number will come next in the following set of numbers?
2, 5, 7, 12, 15, 17, 22 ..?..
2+3 = 5, 5+2 = 7, 7+5 = 12, 12+3 = 15, 15+2 = 17, 17+5 = 22. Note that 3,2,5 are being added that order to various numbers to get the next number. Therefore, 3 should be added to 22 to get the answer.
Which number will come next in the following set of numbers
3, 13, 53, 213 ..?..
The difference in consecutive numbers follows the sequence, 10, 40, 160. So the next difference = 160 × 4 = 640 Therefore number = 213 + 640 = 853.
What number will come next in the following series?
2, 12, 36, 80, 150, ..?..
1³ + 1² = 2, 2³ + 2² = 12, 3³ + 3² = 36 and so on ∴ 6³ + 6² = 252
2, 2, 4, 4, 6, 8, 8, ..?..
The given series consists of 2 series (i) 2, 4, 6, 8 …………. (ii) 2, 4, 8 …………. Series (i) → 2× 1, 2 × 2, 2 × 3 , 2 × 4 ……. Series (ii) → 2, 2× 2, 4 × 2, 8 × 2 = 16 …….
Which one of the numbers will complete the series ?
6.25, 9, 12.25, 16, 20.25, 25, 30.25, ..?..
There are two alternate series Series I: 6.25, 12.25, 20.25, 30.25 (sequence is +6, +8, +10) Series II: 9, 16, 25, 36, (sequence is +7, +9, +11)
8, 13, 10, 15, 12, 17, 14 ..?..
Second term is greater than first term by 5, while the third term is less than the second term by 3. The same order is repeated.
Which is the number that comes next in this sequence?
5, 16, 51, 158, ..?..
16 = 5 × 3 + 1, 51 = 16 × 3 + 3, 158 = 51 × 3 + 5 ∴ Next term = 158 × 3 + 7 = 481
What is the next number in this sequence ?
1, 3, 8, 19, 42, 89, ..?..
Each of the numbers is doubled and 1, 2, 3, 4, 5, 6 is added in next term, so, 89 × 2 + 6 = 184.
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