The next number is 17 because each number is increasing by increments of 3
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The given sequence appears to have a common difference of 3. Thus, the next term in the sequence would be 17.
14
The next number is 17. You're adding 8, and then subtracting 5. So; 2 + 8 = 10 10 - 5 = 5 5 + 8 = 13 etc... 19 - 5 = 14 14 + 8 = 22 22 - 5 = 17
11 + 3 = 14 11 - 3 = 8 6 + (-2) = 4 6 - (-2) = 8
The fraction is 35/56.The way to find it is as follows:1) n/d = 5/82) (n-5) / (d+4) = 1/23) n = (5/8)*d [rearrange (1)]4) 2*(n-5) = (d+4) [rearrange (2)]5) 2*n - 10 = d + 4 [rearrange (4)]6) 2*n = d + 14 [rearrange (5)]7) 2*((5/8)*d) = d + 14 [substitue (3) into (6)]8) (10/8)*d = d+14 [rearrange (7)]9) (10/8)*d - d = 14 [rearrange (8)]10) (10/8)*d - (8/8)*d = 14 [rearrange (9)]11) (2/8)*d = 14 [rearrange (10)]12) d = 14 / (2/8) = 14 * 8/2 [rearrange (11)]13) d = 112/2 = 56 [simplify (12)]14) n = (5/8)*56 [substitute (13) into (3)]15) n = 280/8 = 35 [simplify (14)]16) THE ANSWER IS n/d = 35/56 [substitute (13) and (15) into the definition of the fraction]
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