Question 925738: Please help me solve these problems:
"Find the rule to fit this In/Out tables. You may find it helpful to draw out the first and second differences.
1.
IN OUT
1 14
2 17
3 20
4 23
5 26
6 ?
Rule: "The OUT is...
____________________
2.
IN OUT
1 8
2 11
3 16
4 23
5 ?
6 ?
Rule: "The OUT is...
___________________
3.
IN OUT
1 5
2 20
3 45
4 80
5 ?
6 ?
Rule: "The OUT is...
____________________"
I noticed some patterns in OUT of these problems but cannot create rule equations for each problem.
1. Pattern: the difference between the next OUT and previous OUT is 3.
17 - 14 = 3, 20 - 17 = 3, 23 - 20 = 3, 26 - 23 = 3. So OUT for IN 6 will be 29 (26 + 3 = 29).
2. Pattern: the difference between the next OUT and previous OUT is increased each time by 2.
11 - 8 = 3, 16 - 11 = 5, 23 - 16 = 7 (5 - 3 = 2, 7 - 5 = 2). So I could find
OUT for IN 5 and OUT for IN 6:
IN 5 OUT 32 (7 + 2 = 9, 23 + 9 = 32)
IN 6 OUT 43 (9 + 2 = 11, 32 + 11 = 43)
3. Pattern: the difference between the next OUT and previous OUT is increased each time by 10.
20 - 5 = 15, 45 - 20 = 25, 80 - 45 = 35 (25 - 15 = 10, 35 - 25 = 10). So I could find OUT for IN 5 and OUT for IN 6:
IN 5 OUT 125 (35 + 10 = 45, 80 + 45 = 125)
IN 6 OUT 180 (45 + 10 = 55, 125 + 55 = 180).
Please help me with finding rule equations.
Thank you,
Inna
Answer by josgarithmetic(39630)   (Show Source):
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