Suku ke 10 =$$ \frac{2\left(1-\frac{1^{10}}{2}\right)}{1-\frac12} $$

The formula for the 10th term is given by:

\[
Suku\ ke\ 10 = \frac{2\left(1-\frac{1^{10}}{2}\right)}{1-\frac{1}{2}}
\]

Let's simplify it step by step.

1. First, simplify $ 1^{10} $:
   \[
   1^{10} = 1
   \]

2. Substitute $ 1^{10} $ into the expression:
   \[
   Suku\ ke\ 10 = \frac{2\left(1 - \frac{1}{2}\right)}{1 - \frac{1}{2}}
   \]

3. Simplify the numerator:
   \[
   1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}
   \]
   Therefore, the numerator becomes:
   \[
   2 \times \frac{1}{2} = 1
   \]

4. Simplify the denominator:
   \[
   1 - \frac{1}{2} = \frac{2}{2} - \frac{1}{2} = \frac{1}{2}
   \]

5. Now the expression is:
   \[
   Suku\ ke\ 10 = \frac{1}{\frac{1}{2}} = 2
   \]

Thus, the value of the 10th term is:

\[
Suku\ ke\ 10 = 2
\]

Would you like more details, or do you have any questions?

### 5 Related Questions:
1. How do you simplify fractions involving exponents?
2. What are the steps to solve a geometric series formula?
3. Can you explain how exponents work with base 1?
4. How can we apply this in more complex series problems?
5. What is the general form for the nth term in a series?

### Tip: Always simplify powers and fractions step by step to avoid confusion in complex expressions.

This problem demonstrates how to simplify an expression involving exponents and fractions to find the 10th term. By breaking down the formula step-by-step, students will learn the rules of exponents and how to simplify complex fractions. Suitable for students in Grades 8-10.

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