Question

What is the 9th term for 1,5,25,125

Answer 1

Answer:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 55 gives the next term. In other words, an=a1rn−1an=a1rn-1.

Geometric Sequence: r=5r=5

This is the form of a geometric sequence.

an=a1rn−1an=a1rn-1

Substitute in the values of a1=1a1=1 and r=5r=5.

an=1⋅5n−1an=1⋅5n-1

Multiply 5n−15n-1 by 11.

an=5n−1

Answer 2

The 9th term for 1,5,25,125 is 390625

How to determine the 9th term?

The sequence is given as:

1,5,25,125

The above sequence is a geometric sequence, and it has the following features:

• First term, a = 1
• Common ratio, r = 5

The nth term is calculated using:

$T_n= a *r^{n-1$

So, we have:

$T_9= 1 *5^8$

Evaluate

$T_9= 390625$

Hence, the 9th term for 1,5,25,125 is 390625

Read more about sequence at:

https://brainly.com/question/6561461

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