Find the next two numbers in the geometric sequence:
1, 1/3, 1/9
Each number is 1/3 of the one before it.
1/3 * 1/9 = 1/27
1/27 * 1/3 = ?
Thank You Ms, Sue
You're welcome.
To find the next two numbers in a geometric sequence, we need to determine the common ratio and then use it to continue multiplying the previous term.
In this case, the common ratio can be found by dividing any term by its previous term. Let's use the second and first terms:
1/3 ÷ 1 = 1/3
Now that we know the common ratio is 1/3, we can continue multiplying the last term by this ratio to find the next numbers.
To find the fourth term:
(1/9) × (1/3) = 1/27
To find the fifth term:
(1/27) × (1/3) = 1/81
Therefore, the next two numbers in the geometric sequence are 1/27 and 1/81.