Find the Next Term 15 , 45

Problem

15,45,…

Solution

1. Identify the relationship between the first and second terms by calculating the ratio.

r=45/15

2. Simplify the ratio to determine the common multiplier in the sequence.

r=3

3. Apply the rule for a geometric sequence by multiplying the second term by the common ratio to find the next term.

(a_3)=45⋅3

4. Calculate the final value.

(a_3)=135

Final Answer

15,45,135

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