What is theterm of the sequence 2, 6, 18, 54, …?Select one:a. 162b. 486c. 1,458d. 4,374

The sequence given is a geometric sequence, where each term is multiplied by a common ratio to get the next term.

Step 1: Identify the common ratio The common ratio (r) can be found by dividing any term by the previous term. For example, 6/2 = 3 or 18/6 = 3. So, the common ratio is 3.

Step 2: Use the formula of the nth term of a geometric sequence The formula for the nth term of a geometric sequence is a*r^(n-1), where a is the first term, r is the common ratio, and n is the term number.

Step 3: Identify the term number The question does not specify which term number we are looking for. If we are looking for the 5th term, we substitute a = 2, r = 3, and n = 5 into the formula.

23^(5-1) = 23^4 = 2*81 = 162

So, the 5th term of the sequence is 162. If we are looking for the 6th term, we substitute n = 6 into the formula.

23^(6-1) = 23^5 = 2*243 = 486

So, the 6th term of the sequence is 486.

Without knowing the exact term number, we cannot determine the correct answer.