Find the missing number in the series.
- A225
- B280
- C560
- D355
Solution & Step-by-step Explanation
Let's find the difference between consecutive terms:
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*
*
*
Now, observe the pattern in the differences ():
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*
*
The differences between the differences are doubling each time ().
So, the next difference of difference should be .
The next difference to add to the series term will be .
Alternative Method:
Each term is generated by multiplying the previous term by and subtracting an increasing multiple of :
*
*
*
*
*
*
*
*
*
Now, observe the pattern in the differences ():
*
*
*
The differences between the differences are doubling each time ().
So, the next difference of difference should be .
The next difference to add to the series term will be .
Alternative Method:
Each term is generated by multiplying the previous term by and subtracting an increasing multiple of :
*
*
*
*
*