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Answer :
This sequence follows a pattern involving powers of integers. Let's analyze each term in the sequence:
- $1^1 = 1$
- $2^2 = 4$
- $3^3 = 27$
- $4^4 = 256$
- $5^5 = 3125$
- $6^6 = 46656$
The pattern here is that each term [tex]a_n[/tex] is [tex]n^n[/tex], where [tex]n[/tex] is the position of the term in the sequence.
To find the next term, we identify it as $7^7$:
$7^7 = 7 \times 7 \times 7 \times 7 \times 7 \times 7 \times 7 = 823543$
Therefore, the correct answer is (c) 823543.
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