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Find, showing all working, a recursive de nition of the sequence with general

term

tn = 3 (n + 1)!/2n ; n >= 1


Length (meter): 5 6 7 9 12 Weight (KG): 13 15 18 19 20 State which of the two characteristics of two items is more variable?


a) A plant grows 1.6 cm in the first week. Each week it grows by 5% more than it did the week before. Using geometric sequence find, how much it grows in the 6th week.


b) In the year 2000 a shop sold 150 computers. Each year the shop sold 10 more computers than the year before. Show that the shop sold 220 computers in 2007.


c) How many students must be in a class to guarantee that at least two students receive the same score on the final exam if the exam is graded on a scale from 0 to 100 points?



Five items was taken from the output of factory. The length and weight of 5 items are given below. Length (meter): 5 6 7 9 12 Weight (KG): 13 15 18 19 20


Plot the following points in the polar coordinates system (3,π\4),(-3,π\4),(3,-π\4),(-3,-π\4)

Convert into rectangular coordinates (4,-2π\3)

u+v =3,4 and u ➖ v=1, ➖ 2 then find v and u

what is probability

 Suppose a random sample of 38 sports cars has an average annual fuel cost of K2218 and the standard deviation was K523. Construct a 90% confidence interval for μ. Assume the annual fuel costs are normally distributed.


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