To find the 11th term of the geometric sequence, we can use the formula for the nth term of a geometric sequence:
an = a1 * r^(n-1)
where an represents the nth term, a1 is the first term, r is the common ratio, and n is the position of the term in the sequence.
In this case, the first term is 3, and the common ratio can be found by dividing any term by the previous term. Let's calculate it:
r = 6/3 = 2
Now we can plug in the values into the formula to find the 11th term:
a11 = 3 * 2^(11-1)
= 3 * 2^10
= 3 * 1024
= 3072
So, the 11th term of the geometric sequence is 3072.
What is the 11th term of the geometric sequence
3, 6, 12, 24, …
1 answer
1 answer