Answer:
Option A. 
Step-by-step explanation:
The given sequence in the question is 6,-24,96,-384.......n
and we have to give the recursive formula for this arithmetic sequence.
We can re write the sequence to make it more simpler
6,6(-4),(-24)(-4),(96)(-4).......n terms
Now we can say 
and
Therefore the recursive formula of the sequence is
Complete question :
The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.
Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?
Answer:
21 runners
Step-by-step explanation:
Mean, μ = 13 seconds
Standard deviation, σ = 0.3
Lana's race time = 13.2
We find the proportion of runners who had race time above 13.2 ;
Proportion of who had race tune above 13.2
P(x > 13.2)
Obtain the Zscore
Zscore = (x - μ) / σ
Z = (13.2 - 13) / 0.3
Zscore = 0.2 / 0.3 = 0.6667
P(Z > 0.6667) = 0.25239 (Z probability calculator)
This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)
Hence, Number of runners Lana beat = 25% of total runners ;
0.25 * 84 = 21
Hence, Lana beat about 21 runners
D.
-5(-1) + 2(2) = 5 + 4 = 9
-3 + 10 = 7
Linear because there is a constant change (+3)
