Respuesta :

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

What is a way to find a sequence?

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

Read more about sequence at; https://brainly.com/question/6561461

ACCESS MORE
EDU ACCESS
Universidad de Mexico