Find the 8th term of the sequence, 81,27,9,3?
Answer (1)
Answer:The final answer is: $\boxed{\frac{1}{27}}$Step-by-step explanation:## Step 1: Identify the pattern of the sequenceThe sequence is obtained by dividing the previous term by 3. To confirm, let's calculate the ratio between consecutive terms: 27/81 = 1/3, 9/27 = 1/3, 3/9 = 1/3. The pattern is clear: each term is 1/3 of the previous term.## Step 2: Calculate the next terms of the sequence until we reach the 8th termGiven sequence: 81, 27, 9, 3. Let's calculate the next terms:- 5th term = 3 * (1/3) = 1- 6th term = 1 * (1/3) = 1/3- 7th term = (1/3) * (1/3) = 1/9- 8th term = (1/9) * (1/3) = 1/27
