Select the formula for the n^th term of the sequence. 5,15,45,ldots Show your work here 5(3)^n-1 5+3(n) 5+3(n-1) 5(3)^n None of the above

To find the formula for the term of the sequence , we need to identify the pattern in the sequence.Let's examine the given terms:- The first term is 5.- The second term is 15.- The third term is 45.We can observe that each term is obtained by multiplying the previous term by 3. This indicates that the sequence is a geometric sequence with a common ratio of 3.The general formula for the term of a geometric sequence is given by: Where:- is the term- is the first term- is the common ratioIn this case, the first term is 5 and the common ratio is 3. Substituting these values into the formula, we get: Therefore, the formula for the term of the sequence is .So, the correct answer is: