During a science experiment, Kyle counted the number of bacteria present in a petri dish after every minute. Assuming the pattern continues, how many bacteria will there be after 20 minutes?
400
200
80
60
The table below shows the partial sums of a series, with n being numbers of terms and Sn being the partial sums. Is the series arithmetic?
Yes, because the second differences of the partial sums are each 4.
Yes, because the second differences of the partial sums are each 8.
Yes, because the second differences of the partial sums are each 6.
No, because the second differences of the partial sums are not constant.
Fine the formula for the geometric sequence 3, 6, 12, 24, ....
tn=3(4)n-1
tn=(2)n-1
tn=3(2)n-1
tn=(4)n-1
Define the following sequences as a function and find the next term in the sequence. 16, 8, 4, 2, 1, ... .
f(1)=16, f(n+1)=f(n)1, n≥2;12
f(n)=n2,n≥1;0
f(n+1)=f(n)+162,n≥0;12
f(1)=16, f(n+1)=f(n)1,12
Which of the following recursive formulas represents the same sequence as the explicit formula: f(n)=4(3n), n≥1
f(1)=0, f(n+1) =12f(n)
f(1)=12, f(n+1) =4+3f(n)
f(1)=12, f(n+1) =3f(n)
f(1)=0, f(n+1) =12+3f(n)
