What is the fifth term of the sequence
a sub n = 1/3^n?
a)1/12
b)1/81
c)1/243
d)1/15
If the sequence starts at n = 1 (there is no reason why it should) then it is 1/243
To find the fifth term of the sequence a sub n = 1/3^n, we need to substitute n=5 into the equation.
a sub 5 = 1/3^5
To calculate this, we need to raise 3 to the power of 5, which means multiplying 3 by itself five times:
3 * 3 * 3 * 3 * 3 = 243
Finally, we take the reciprocal of 243:
1/243
Therefore, the fifth term of the sequence is 1/243.
So, the correct answer is c) 1/243.