Select the formula for the n^th term of the sequence. 9,45,225,ldots Show your work here 9+5(n) 9(5)^n-1 9+5(n-1) 9(5)^n None of the above

Question

Select the formula for the n^th term of the sequence. 9,45,225,ldots Show your work here 9+5(n) 9(5)^n-1 9+5(n-1) 9(5)^n None of the above

Answer 1

To find the formula for the

term of the sequence

, we need to identify the pattern in the sequence.Let's denote the

term of the sequence as

.We can observe that each term in the sequence is obtained by multiplying the previous term by 5.So, we can write the recursive formula for the sequence as:

Now, let's find the explicit formula for the

term.We can start by finding the first few terms of the sequence using the recursive formula:

From the above calculations, we can see that each term is obtained by multiplying 9 by 5 raised to the power of

.Therefore, the formula for the

term of the sequence is:

So, the correct answer is:

Problemas

Select the formula for the n^th term of the sequence. 9,45,225,ldots Show your work here 9+5(n) 9(5)^n-1 9+5(n-1) 9(5)^n None of the above

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