Let us solve the missing terms in the sequences provided:

Question 6: Sequence - $22, 24, 28, ?, 52, 84$

• Pattern Observation: The difference between consecutive terms is as follows:
  • $24 - 22 = 2$
  • $28 - 24 = 4$
  • Missing number difference should be $6$, leading to:
    • $28 + 6 = 34$
  • Next differences: $52 - 34 = 18$ and $84 - 52 = 32$, verifying the sequence.

Answer for Question 6: $? = 34$

Question 7: Sequence - $0, 2, 8, 14, ?, 34$

• Pattern Observation: The difference between consecutive terms is as follows:
  • $2 - 0 = 2$
  • $8 - 2 = 6$
  • $14 - 8 = 6$
  • The differences seem to alternate between $+2, +6, +6$, suggesting the next is $+6$, leading to:
    • $14 + 6 = 20$

Answer for Question 7: $? = 20$

Do you want a detailed explanation of how the patterns were derived, or have any other questions?

Related Questions:

1. Can you identify similar number patterns with increasing or alternating differences?
2. How would you determine missing terms if the pattern was multiplication or division instead of addition?
3. What strategies help in recognizing complex sequences, like Fibonacci or geometric progressions?
4. Can you create your own sequence and challenge the logic behind it?
5. How do alternating patterns behave in real-world problem-solving situations?

Tip: Always write down the differences or ratios between consecutive terms to identify hidden patterns quickly.