Select the missing number from the following options to complete the given series:
82,\, 103,\, 126,\, \text{____},\, 178,\, 207,\, 238
- A
- B
- C
- D
Solution & Step-by-step Explanation
Let's investigate the difference between consecutive terms in the series:
*
*
The differences appear to increase by consecutively (). Let's test this hypothesis to find the missing term:
Now let's check if the rest of the series matches with the subsequent differences ():
* (Matches)
* (Matches)
* (Matches)
The missing number is .
*
*
The differences appear to increase by consecutively (). Let's test this hypothesis to find the missing term:
Now let's check if the rest of the series matches with the subsequent differences ():
* (Matches)
* (Matches)
* (Matches)
The missing number is .