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The given sequence is defined as:

\[
a_n = 10(2)^n
\]

We are asked to find the first three terms of the sequence starting with \( n = 1 \).

### Step-by-step calculation:
1. **For \( n = 1 \):**
   \[
   a_1 = 10(2)^1 = 10 \times 2 = 20
   \]

2. **For \( n = 2 \):**
   \[
   a_2 = 10(2)^2 = 10 \times 4 = 40
   \]

3. **For \( n = 3 \):**
   \[
   a_3 = 10(2)^3 = 10 \times 8 = 80
   \]

### Final Answer:
The first three terms of the sequence are:
\[
20, 40, 80
\]

Would you like further details or have any other questions? Here are some related questions you might explore:

1. What is the 5th term of this sequence?
2. How does the sequence grow as \( n \) increases?
3. Can this sequence be classified as arithmetic or geometric?
4. What would happen to the sequence if the base were changed from 2 to another number?
5. How could you express the nth term using logarithms?

**Tip**: Always check the behavior of a sequence for small values of \( n \) to understand its growth or pattern.

Find the first three terms of the sequence defined by a_n = 10(2)^n, where n represents the position of a term in the sequence. Start with n = 1.

Learn how to find the first three terms of the sequence defined by a_n = 10(2)^n. This step-by-step solution covers key algebraic concepts like sequences and exponential growth, suitable for students in Grades 7-9.

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