Find the next term of the given series: $4, 5, 7, (...). 19$
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Find the next term of the given series: $4, 5, 7, (...). 19$
The series is 4, 5, 7, x, 19. Differences: 1, 2, 4, 8. The differences are powers of 2. So, 7 + 4 = 11, and 11 + 8 = 19. The missing term is 11.
We find the differences between consecutive terms to establish the pattern. The differences begin with 5 minus 4 equals 1, and 7 minus 5 equals 2. Following this increasing pattern, the next difference is 4, making the missing term 7 plus 4 equals 11, and 11 plus 8 correctly yields the final term of 19. The missing term is 11.