Which of the following numbers will replace the question mark (?) in the given series?
5, 8, 24, 57, 109, 184, 288, 423, ?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 595
5, 8, 24, 57, 109, 184, 288, 423, ?
Logic: Double difference
8 = 5 + 3
24 = 8 + 16; (3 + 13 = 16)
57 = 24 + 33; (16 + 17 = 33)
109 = 57 + 52; (33 + 19 = 52)
184 = 109 + 75; (52 + 23 = 75)
288 = 184 + 104; (75 + 29 = 104)
423 = 288 + 135; (104 + 31 = 135)
595 = 423 + 172; (135 + 37 = 172)
Hence, the correct answer is 595.