Q3. Which term of the sequence \overline{2187,729,243,...is1/9=?
(A)10 (B)11 (C)12 (D)13
To find the term of the sequence that is equal to 1/9, we need to determine the pattern of the sequence first.
Looking at the given sequence, we can see that each term is obtained by dividing the previous term by 3.
So, to find the term that is equal to 1/9, we need to perform this division until we reach 1/9.
Start with the first term: 2187
Divide by 3: 2187/3 = 729
Continue dividing by 3: 729/3 = 243
Again, divide by 3: 243/3 = 81
Divide by 3: 81/3 = 27
Divide by 3: 27/3 = 9
Divide by 3: 9/3 = 3
Divide by 3: 3/3 = 1
So, the term that is equal to 1/9 is obtained after 7 divisions.
Therefore, the answer is 7th term.
But note that we are starting with the first term, which is given in overline form as 2187, so we need to add 3 more terms to get to the 7th term.
Therefore, the 7th term will be the 10th term.
The answer is (A) 10.