Fill in the missing values in the tables based on the given rules and describe any patterns you observe in the output row.

Let's complete the remaining tables.

3. Table 3

• Rule: The output is obtained by multiplying the input by 7 and then subtracting 7. $$\text{Output} = 7 \times \text{Input} - 7$$
• Missing values:
  • For Input = 10: $7 \times 10 - 7 = 70 - 7 = 63$
  • For Input = 14: $7 \times 14 - 7 = 98 - 7 = 91$
  • For Input = 16: $7 \times 16 - 7 = 112 - 7 = 105$
  • For Input = 44: $7 \times 44 - 7 = 308 - 7 = 301$
  • For Input = 84: $7 \times 84 - 7 = 588 - 7 = 581$
• Pattern in output row: The output numbers increase by 14 for every 2-unit increase in the input.

Input	2	4	6	8	10	12	14	16	44	84
Output	7	21	35	49	63	77	91	105	301	581

4. Table 4

• Rule: The output is obtained by multiplying the input by 2 and then adding 6. $$\text{Output} = 2 \times \text{Input} + 6$$
• Missing values:
  • For Input = 5: $2 \times 5 + 6 = 10 + 6 = 16$
  • For Input = 6: $2 \times 6 + 6 = 12 + 6 = 18$
  • For Input = 8: $2 \times 8 + 6 = 16 + 6 = 22$
  • For Input = 19: $2 \times 19 + 6 = 38 + 6 = 44$
  • For Input = 45: $2 \times 45 + 6 = 90 + 6 = 96$
• Pattern in output row: The output numbers increase by 2.

Input	1	2	3	4	5	6	7	8	19	45
Output	8	10	12	14	16	18	20	22	44	96

5. Table 5

• Rule: The output is obtained by dividing the input by 4 and then adding 2. $$\text{Output} = \frac{\text{Input}}{4} + 2$$
• Missing values:
  • For Input = 28: $\frac{28}{4} + 2 = 7 + 2 = 9$
  • For Input = 32: $\frac{32}{4} + 2 = 8 + 2 = 10$
  • For Input = 48: $\frac{48}{4} + 2 = 12 + 2 = 14$
• Pattern in output row: The output numbers increase by 1 for every 4-unit increase in the input.

Input	4	8	16	24	28	32	40	48
Output	3	4	6	8	9	10	12	14