Select the number from among the given options that can replace the question mark (?) in the following series.
64, 68, 77, 93, 118, ?
Show answer & explanation
Correct answer: B
Explanation
Series: 64, 68, 77, 93, 118, ?
Find the differences:
68 − 64 = 4
77 − 68 = 9
93 − 77 = 16
118 − 93 = 25
These are perfect squares:
4 = 2², 9 = 3², 16 = 4², 25 = 5²
Next difference = 6² = 36
So, next term = 118 + 36 = 154
the correct answer is option 2.