10 pow n + (3.4 pow n+2) divided by 9 what is least positive integral value of kOne line ans 

The least positive integral value of \( n \) that satisfies the expression \( \frac{10^n + 3.4^{n+2}}{9} \) as an integer is \( \mathbf{1} \). 

Would you like details or have any questions about the process? Here are 5 related questions to explore:

1. What happens to the expression when \( n = 0 \)?
2. How does the value of the expression change as \( n \) increases?
3. Can you find a general formula for the expression for any given \( n \)?
4. How would the answer change if the base of the second term was different, say \( 4.5 \)?
5. What if the division was by a different number, like 7 instead of 9?

**Tip:** When simplifying expressions with powers, checking small values of \( n \) can help identify patterns quickly.

10 pow n + (3.4 pow n+2) divided by 9 what is least positive integral value of k

Discover the least positive integral value of n that makes the expression (10^n + 3.4^(n+2)) / 9 an integer. This problem involves exponential functions and rational expressions, ideal for students in Grades 9-11.

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