1,2,9,64,625,? Option -7776,6767,6777,7667

The given sequence is: 1, 2, 9, 64, 625, ?

Looking at the pattern, it appears the numbers follow a structure related to powers:

1. \( 1 = 1^1 \)
2. \( 2 = 2^1 \)
3. \( 9 = 3^2 \)
4. \( 64 = 4^3 \)
5. \( 625 = 5^4 \)

From this, we can deduce the next term follows the pattern \( n^{n+1} \):

6. \( 6^5 = 7776 \)

So, the next term in the sequence is **7776**.

### Do you want more details, or have any questions?
Here are five related questions:
1. What is the rule for generating terms in power-based sequences?
2. How can we recognize patterns in complex sequences?
3. Can sequences be solved through multiple valid patterns?
4. How are exponentials used in other types of number sequences?
5. What are common types of mathematical sequences?

**Tip:** Always look for powers, factorials, or additive patterns in sequences—common strategies for solving them.

Discover how to solve the exponential growth sequence 1, 2, 9, 64, 625, and find the next term. This solution explores powers of numbers and follows a pattern where the nth term is raised to the power of (n+1). Ideal for students in Grades 9-12.

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