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Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?
  • a)
    52
  • b)
    56
  • c)
    92
  • d)
    128
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Look at this series: 14, 28, 20, 40, 32, 64, ... What number should co...
The series is 14, 28, 20, 40, 32, 64
Take three terms at a time. The notation be as follows:-
Let, First term = a = 14
It is evident that Second term= 2*a = 2 * 14 = 28 and,
The Third term = Second term - 8 OR ( 2*a - 8 ) = 28 - 8 = 20
Now consider the third, fourth and the fifth term.
Let, Third term = a = 20
It is evident that Fourth term= 2*a = 2 * 20 = 40 and,
The Fifth term = Second term - 8 OR ( 2*a - 8 ) = 40 - 8 = 32
Similarly consider fifth, sixth and the seventh(term to be found).
Let, Fifth term = a = 32
It is evident that Sixth term = 2*a = 2 * 32 = 64 and,
The Seventh term ( term to calculated) = Second term - 8 OR ( 2*a - 8 ) = 64 - 8 = 56
 
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Most Upvoted Answer
Look at this series: 14, 28, 20, 40, 32, 64, ... What number should co...
Ans is 56 solution is given below. 14*2=28 28-8= 20 20*2= 40 40-8=32 32*2=64 64-8=56
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Community Answer
Look at this series: 14, 28, 20, 40, 32, 64, ... What number should co...
Pattern Analysis:

In this series, every second term is twice the preceding term, while every third term is the sum of the two preceding terms with the preceding term subtracted.

14, 28, 20, 40, 32, 64, ...

14 × 2 = 28
14 + 28 − 14 = 20
28 × 2 = 56
28 + 20 − 28 = 20
20 × 2 = 40
20 + 40 − 20 = 40
40 × 2 = 80
40 + 40 − 32 = 48
32 × 2 = 64
64 + 48 − 40 = 72

Thus, the next number in the series should follow the same pattern, which is:

64 × 2 = 128
64 + 72 − 64 = 72

Therefore, the correct answer is option 'B' (56).
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Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next?a)52b)56c)92d)128Correct answer is option 'B'. Can you explain this answer?
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