Number Series

The sequence follows the pattern of adding 2, 3, 4, etc. 1+2=3, 3+3=6, 6+4=10. The next term is 10+5=15.

The series is an arithmetic progression with a common difference of 5. The next term is 23 + 5 = 28.

First term a = -7, common difference d = 2. Terms are -7, -7+2=-5, -5+2=-3, -3+2=-1, -1+2=1. The next four terms are -5, -3, -1, 1.

The series is a geometric progression with a common ratio of 3: 7 * 3 = 21, 21 * 3 = 63, 63 * 3 = 189.

The differences between consecutive terms are: 13-7=6, 20-13=7, 28-20=8. The next difference should be 9. 28 + 9 = 37.

The series is composed of two interleaved series: 2, 3, 4, 5 and 4, 9, 15, 25. The first is n+1. The second is 2^2, 3^2, 4^2, 5^2. The term 15 should be 16 to fit the square pattern.

The pattern is x*2 - 2: 8*2-2=14, 14*2-2=26, 26*2-2=50 (not 48), 50*2-2=98. Thus, 48 is the wrong term.

The pattern is (previous term - 1) / 1.5, or more simply, the differences are 33, 26, 15, 8, 3, 0. The sequence is actually based on n_i = (n_{i-1} / 2) + constant. Checking the series: 87, 54, 28, 13, 5, 2, 2. The term 54 is wrong; it should be 43 if the pattern follows (x-1)/2 roughly.

The series is 15, 21, 27, 33, 39, 45. The difference is consistently 6. The term 34 is incorrect; it should be 33.

The series increases by 6 each time: 13, 19, 25, 31, 37, 43, 49, 55. The term 50 is incorrect as it should be 49.