Answer:
Next term of the pattern is:
7776
Step-by-step explanation:
We have to find the next number in the pattern:
1,32,243,1024,3125,...
This could also be written as:
[tex]1^5,2^5,3^5,4^5,5^5,...[/tex]
If A(n) denotes the n th term of the sequence then,
[tex]A(n)=n^5[/tex]
We have to find the sixth term of the sequence
[tex]A(6)=6^5[/tex]
A(6)=7776
Hence, next term of the pattern is:
7776
The next number in the given pattern is; 7776
We are given the sequence;
1, 32, 243, 1024, 3125,____
Now, we can deduce that;
1 = 1⁵
32 = 2⁵
243 = 3⁵
1024 = 4⁵
3125 = 5⁵
Thus, the next number will be 6⁵ = 7776
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