Select the number from among the given options that can replace the question mark (?) in the following series. 389, 420, 457, 498, 541, ?
588
Given sequence:
389, 420, 457, 498, 541, ?
Find the differences between terms:
420 – 389 = 31
457 – 420 = 37
498 – 457 = 41
541 – 498 = 43
So differences: +31, +37, +41, +43
These are increasing, and all are prime numbers.
Now next prime after 43 is 47
So,
541 + 47 = 588
Answer: 588
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