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5. increase by 3 ______ 6. decrease by 3 ______ 7. increase by 4 ______…

Question

  1. increase by 3 ______
  2. decrease by 3 ______
  3. increase by 4 ______
  4. decrease by 4 ______
  5. increase by 5 ______
  6. decrease by 5 ______
  7. increase by 6 ______
  8. decrease by 6 ______
  9. increase by 1,

decrease by 2 ______

  1. increase by 2,

decrease by 1 ______
e. 2, -1, -4, __, , __
f. -2, 1, 4, __, , __
g. -3, 2, 7, __, , __
h. 3, -1, -5, __, , __
i. -4, 2, 8, __, , __
j. -10, -6, -2, __, , __
k. 4, -1, -6, __, , __
l. -6, -5, -7, __, , __
m. -8, -6, -7, __, , __
n. 2, -4, -10, __, , __

Explanation:

Step1: Match rule E to pattern

Rule: decrease by 3.
$2 - 3 = -1$, $-1 - 3 = -4$, $-4 - 3 = -7$, $-7 - 3 = -10$, $-10 - 3 = -13$

Step2: Match rule F to pattern

Rule: increase by 3.
$-2 + 3 = 1$, $1 + 3 = 4$, $4 + 3 = 7$, $7 + 3 = 10$, $10 + 3 = 13$

Step3: Match rule G to pattern

Rule: increase by 5.
$-3 + 5 = 2$, $2 + 5 = 7$, $7 + 5 = 12$, $12 + 5 = 17$, $17 + 5 = 22$

Step4: Match rule H to pattern

Rule: decrease by 4.
$3 - 4 = -1$, $-1 - 4 = -5$, $-5 - 4 = -9$, $-9 - 4 = -13$, $-13 - 4 = -17$

Step5: Match rule I to pattern

Rule: increase by 6.
$-4 + 6 = 2$, $2 + 6 = 8$, $8 + 6 = 14$, $14 + 6 = 20$, $20 + 6 = 26$

Step6: Match rule J to pattern

Rule: increase by 4.
$-10 + 4 = -6$, $-6 + 4 = -2$, $-2 + 4 = 2$, $2 + 4 = 6$, $6 + 4 = 10$

Step7: Match rule K to pattern

Rule: decrease by 5.
$4 - 5 = -1$, $-1 - 5 = -6$, $-6 - 5 = -11$, $-11 - 5 = -16$, $-16 - 5 = -21$

Step8: Match rule L to pattern

Rule: increase by 1, decrease by 2.
$-6 + 1 = -5$, $-5 - 2 = -7$, $-7 + 1 = -6$, $-6 - 2 = -8$, $-8 + 1 = -7$

Step9: Match rule M to pattern

Rule: increase by 2, decrease by 1.
$-8 + 2 = -6$, $-6 - 1 = -7$, $-7 + 2 = -5$, $-5 - 1 = -6$, $-6 + 2 = -4$

Step10: Pair left rules to letters

  1. increase by 3 → F
  2. decrease by 3 → E
  3. increase by 4 → J
  4. decrease by 4 → H
  5. increase by 5 → G
  6. decrease by 5 → K
  7. increase by 6 → I
  8. decrease by 6 → N
  9. increase by 1, decrease by 2 → L
  10. increase by 2, decrease by 1 → M

Step11: Solve sequence N

Rule: decrease by 6.
$2 - 6 = -4$, $-4 - 6 = -10$, $-10 - 6 = -16$, $-16 - 6 = -22$, $-22 - 6 = -28$

Answer:

  1. increase by 3 → F; F sequence: 7, 10, 13
  2. decrease by 3 → E; E sequence: -7, -10, -13
  3. increase by 4 → J; J sequence: 2, 6, 10
  4. decrease by 4 → H; H sequence: -9, -13, -17
  5. increase by 5 → G; G sequence: 12, 17, 22
  6. decrease by 5 → K; K sequence: -11, -16, -21
  7. increase by 6 → I; I sequence: 14, 20, 26
  8. decrease by 6 → N; N sequence: -16, -22, -28
  9. increase by 1, decrease by 2 → L; L sequence: -6, -8, -7
  10. increase by 2, decrease by 1 → M; M sequence: -5, -6, -4