Question 1085744: Next number in each pattern:
(1) 3, -6, 12, 4, 20, ?
(2) 7, 16, 8, 27, 9, ?
(3) 2, 7, 26, 101, 400, ?
(4) 7, 21, 8, 72, 9, ?
Answer by Edwin McCravy(20055)   (Show Source):
You can put this solution on YOUR website!
3, -6, 12, 4, 20, ?
Start with 3 <-- get 1st term, 3
Subtract 9 <-- get 2nd term, -6
Add twice 9 <-- get 3rd term, 12
Subtract 8 <-- get 4th term, 4
Add twice 8 <-- get 5th term, 20
Subtract 7 <-- get 6th term, 13 <-- the answer
Add twice 7 <-- get 7th term, 27
Subtract 6 <-- get 8th term, 21
Add twice 6 <-- get 9th term, 33
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(2) 7, 16, 8, 27, 9, ?
Start with 7 <-- get 1st term, 7
Add 9 <-- get 2nd term, 16
Subtract 8 <-- get 3rd term, 8
Add 19 <-- get 4th term, 27
Subtract 18 <-- get 5th term, 9
Add 29 <-- get 6th term, 38 <-- the answer
Subtract 28 <-- get 7th term, 10
Add 39 <-- get 8th term, 49
Subtract 38 <-- get 9th term, 11
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(3) 2, 7, 26, 101, 400, ?
Start with 2 <-- get 1st term, 2
Mutiply by 4, get 8, subtract 1, <-- get 2nd term, 7
Mutiply by 4, get 28, subtract 2, <-- get 3rd term, 26
Mutiply by 4, get 104, subtract 3, <-- get 4th term, 101
Mutiply by 4, get 404, subtract 4, <-- get 5th term, 400
Mutiply by 4, get 1600, subtract 5, <-- get 6th term, 1595 <-- the answer
Mutiply by 4, get 6380, subtract 6, <-- get 7th term, 6374
Mutiply by 4, get 25496, subtract 7, <-- get 8th term, 25489
Edwin
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