Use the formula for the general term of a geometric sequence to find the indicated term. Find a12 when a1=2 and r=2
1. 8192
2. 4100
3. 4096
4. 24
3. 4096
The formula for the general term of a geometric sequence is:
an = a1 * r^(n-1)
Given that a1 = 2, r = 2, and we need to find a12:
a12 = 2 * 2^(12-1)
a12 = 2 * 2^11
a12 = 2 * 2048
a12 = 4096
Therefore, a12 = 4096.