Use the formula for the general term of a geometric sequence to find the indicated term of the sequence with the given first term a1 and common ratio, r. Find a12 when a1=2 and r=2
The general formula for a geometric sequence is:
an = a1 * r^(n-1)
Given a1 = 2 and r = 2, we can plug these values into the formula to find a12:
a12 = 2 * 2^(12-1)
a12 = 2 * 2^11
a12 = 2 * 2048
a12 = 4096
Therefore, the twelfth term of the sequence with a1 = 2 and r = 2 is 4096.