Find the missing number in the series: 2, 5,__ , 19 , 37, 75
1. 10 2. 9 3. 7 4. 8
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This is a "series" where the value of a number (after the first two given numbers) is the result of an operation involving the preceding two numbers.
If you have
a and b
then
c = 2a + b
Example :
Let's assume a=19, b=37.
So, c = 2*19 + 37 = 75
which is the given next number. So, our theory is correct and now to calculate third number after 2 and 5.
2*2 + 5 = 9
we now have
2, 5, 9
We can also check it by assuming a =9 and b= 19 and then,
c=2*9+19=18+19=37 which is the next term in the given series.
Hence, the missing number in the given series is found to be 9.
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- 09 Jan
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