To solve the problem, let’s analyze the sequence step by step.

Step 1: Understand the pattern

The pattern shows that each hexagon is surrounded by two triangles on its left and right. For each pattern:

• Pattern 1: 1 hexagon and 2 triangles.
• Pattern 2: 2 hexagons and 4 triangles.
• Pattern 3: 3 hexagons and 6 triangles.
• Pattern 4: 4 hexagons and 8 triangles.

From this, we observe that the number of triangles is twice the number of hexagons in each pattern.

Step 2: Express the pattern mathematically

If the pattern number is $n$, then:

• Number of hexagons = $n$.
• Number of triangles = $2n$.

Step 3: Find the number of triangles for Pattern 70

For $n = 70$: $\text{Number of triangles} = 2 \times 70 = 140.$

Final Answer:

There are 140 triangles in Pattern 70.

Would you like me to explain this further?

Related Questions:

1. What is the general formula for the total number of shapes (hexagons + triangles) in each pattern?
2. How many hexagons are there in Pattern 100?
3. How many triangles are added between two consecutive patterns?
4. What would the total number of triangles be for the first 70 patterns combined?
5. Could you extend this to a different shape sequence? If yes, how?

Tip:

Whenever solving a sequence problem, always look for a pattern and try to express it as a mathematical formula for efficiency.