The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,
r = t⁵/t⁸ = t²/t⁵
The answer, r = t⁻³.
The next three terms are,
n₄ = (t²)(t⁻³) = t⁻¹
n₅ = (t⁻¹)(t⁻³) = t⁻⁴
n₆ = (t⁻⁴)(t⁻³) = t⁻⁷
The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively.
Answer: the answer to lg is 18
Let first consider the equations one by one and will be solving one by one ;

Multiplying both sides by y will lead ;


Now, consider the second equation which is ;

Multiplying both sides by x will yield


As LHS of both equations (i) and (ii) are same, so equating both will yield;

Multiplying both sides by 4 will yield


Dividing both sides by y will yield :

<em>Hence, the required answer is 16</em>
I think the answer is 1/3 because you can simplify 4/12 into 2/6 and that can also be simplify into 1/3. Sorry if I am wrong let me know if i'm right