Answer with Step-by-step explanation:
The topic is about base and exponents.
The figures shown are also geometric sequence.
PATTERN ANALYSIS:
- Figure 1 ⇒ 2 squares ⇒ 2¹
- Figure 2 ⇒ 4 squares ⇒ 2²
- Figure 3 ⇒ 8 squares ⇒ 2³
- Figure 4 ⇒ 16 squares ⇒ 2⁴
- Figure 5 ⇒ 32 squares ⇒ 2⁵
- Figure 6 ⇒ 64 squares ⇒ 2⁶
- and so on.
Question 1, 2, 3: You can answer. Self-explanatory.
4. The rule in finding the succeeding number of squares:
Option A:
- Multiply the number of squares in preceding figure (before) by 2 to find the number of squares in the next figure.
- This is a geometric sequence rule where the ratio is 2.
Option B: Since the topic is about exponent and base, the main rule is:
- 2ˣ where x is a consecutive positive integer
- ⇒ {x / x is a consecutive positive integer} ⇒ {1, 2, 3, 4, 5, 6, 7, ...}
- 2 is the base
- x is the exponent
For numbers 5 and 6: You can answer these questions based on the pattern analysis or the rule.
