1. Given the first term, f(1) = 3 and the common difference of 5, find the first 5 terms.
A. 3, 8, 13, 20, 27
B. 3, -2, -7, -12, -17
C. 3, 15, 75, 375, 1875
D. 3, 8, 13, 18, 23
2. A bacteria colony starts with 5 bacteria and triples every hour. How would you write an explicit equation to model this situation?
A. f(x)-3*5^x
B. f(x)=3x+5
C. f(x)= 5x+3
D. f(x)= 5*3^x
1. The common difference is 5, so add 5 every term: 3, 8, 13, 18, ...
The answer is D.
2. The bacteria triples every hour, so this is an exponential function. It also starts with 5 bacteria, so the answer is D.