Select the number from the given options that can replace the question mark (?) in the given series.
54, 70, 102, 150, 214, 294, 390, [?]
Show answer & explanation
Correct answer: D
Explanation
Series:
54, 70, 102, 150, 214, 294, 390, ?
Find differences:
70 − 54 = 16
102 − 70 = 32
150 − 102 = 48
214 − 150 = 64
294 − 214 = 80
390 − 294 = 96
Differences are increasing by +16
16,32,48,64,80,96
So, next term is:
390+112=502
Hence, the correct answer is option 4.