Which number will replace the question mark in the following series 5 9 18 43 92 213 382 ........

General Intelligence and Reasoning (CHSL) Sequence, series & progression

Which number will replace the question mark (?) in the following series?

5, 9, 18, 43, 92, 213, 382, ?

328

382

316

671

In the series a pattern is being followed:

5, 9, 18, 43, 92, 213, 382

5+4=9 (Now here 4 is the square of 2)

9+9=18 (9 is the sqaure of 3)

18+25=43 (25 is the square of 5)

43+49=92 (49 is the sqaure of 7)

92+121=213 (121 is the square of 11)

213+169=382 (169 is the sqaure of 13)

Now, 2,3,5,7,11 and 13 are prime numbers so we will keep adding the squares of prime numbers to complete the series.

382+289=671 (289 is the sqaure of 17)

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