Intermediate Algebra
Which statement correctly distinguishes a geometric sequence from an arithmetic sequence?
Consider the geometric sequence 55, −15-15, 4545, ... Identify the common ratio, rr.
Given the geometric sequence with a1=3a_1 = 3 and common ratio r=2r = 2, compute the 2020th term, a20a_{20}.
A geometric sequence has a2=12a_2 = 12 and a5=96a_5 = 96. Determine a1a_1 and rr, and write the general formula for ana_n.
A biologist models a population by Pn=1,000,000⋅(0.7)nP_{n}=1,000,000\(\cdot\)(0.7)^{n} where nn is hours. Determine after how many whole hours the population will drop below 1,0001,000 individuals. Determine the minimal integer nn.