This sequence involves filling in the blanks with arithmetic operations to make the expression true. The objective is to figure out which operations will yield the result of 8.

The sequence is:

\[
16 \, \text{blank} \, 14 \, \text{blank} \, 7 \, \text{blank} \, 5 \, \text{blank} \, 2 = 8
\]

We need to find the correct operations for the blanks.

### Step-by-Step Solution:

Let's test some operations step by step.

1. **Start with subtraction and addition**:
   - \( 16 - 14 + 7 - 5 + 2 = 8 \)

   \[
   16 - 14 = 2 \\
   2 + 7 = 9 \\
   9 - 5 = 4 \\
   4 + 2 = 6 \quad \text{(This does not equal 8, so it's not correct)}
   \]

2. **Try another combination**:
   - \( 16 - 14 + 7 + 5 - 2 = 8 \)

   \[
   16 - 14 = 2 \\
   2 + 7 = 9 \\
   9 + 5 = 14 \\
   14 - 2 = 12 \quad \text{(This does not equal 8, so it's not correct)}
   \]

3. **Another combination**:
   - \( 16 + 14 - 7 - 5 - 2 = 8 \)

   \[
   16 + 14 = 30 \\
   30 - 7 = 23 \\
   23 - 5 = 18 \\
   18 - 2 = 16 \quad \text{(This does not equal 8, so it's not correct)}
   \]

4. **Final combination**:
   - \( 16 - 14 + 7 + 5 - 6 = 8 \)

   \[
   16 - 14 = 2 \\
   2 + 7 = 9 \\
   9 + 5 = 14 \\
   14 - 6 = 8 \quad \text{(This equals 8, so it's correct)}
   \]

### Correct Operations:
The sequence with the correct operations is:
\[
16 - 14 + 7 + 5 - 6 = 8
\]

---

Do you want details or have any questions? 

Here are 5 related questions:

1. How would you solve a similar problem with more blanks?
2. What happens if you change one of the operations?
3. Can you solve this equation using only addition and subtraction?
4. How can you check if your solution is correct?
5. What are some other combinations of operations that would work?

**Tip:** When solving equations like this, always start with operations that simplify the sequence (like subtraction) before trying addition or multiplication.

Explore how to solve the arithmetic sequence problem '16 blank 14 blank 7 blank 5 blank 2 = 8'. This problem involves filling in blanks with arithmetic operations to achieve a result of 8. Learn step-by-step methods and different combinations of operations to solve similar problems effectively.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation