Question : Directions: Select the number that will replace the question mark (?) in the following series.
75, 76, 84, 111, 175, ?
Option 1: 265
Option 2: 300
Option 3: 290
Option 4: 308
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Correct Answer: 300
Solution :
Given:
75, 76, 84, 111, 175, ?
Add the cube of the consecutive numbers to the previous term to obtain the next term.
75 + 1
3
= 75 + 1 = 76; 76 + 2
3
= 76 + 1 = 84; 84 + 3
3
= 84 + 27 = 111; 111 + 4
3
= 111 + 64 = 175; 175 + 5
3
= 175 + 125 = 300
So, 300 is the missing term in the given series. Hence, the second option is correct.
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