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A. Write the missing term/s in the given series of numbers.

1. Find the next three terms in: 14, 10, 6, 2, ? , ? , ? .

2. Find the

th 35

term in the arithmetic sequence


3, 9, 15, 21, ? .


3. Find the next two terms in the sequence:


5, 2, 8, 3, 11, 4, 14, 5, 17, 6, ? , ? .


4. Find the next number:


2, 3, 4, 6, 6, 9, 8, ? .


5. What should become in place of x in the following series:


2, 2, 4, 12, 48, 240, x?


6. Identify the next number in the following series


2, 8, 26, 62, 122, 212, ? .


7. What is the next number in the pattern


4, 12, 36, 108, ? .


A box contains 4 yellow (Y) and 8 Pink balls. Six balls will be selected in the box.






Determine the values of random variable P representing the number of pink balls.

A pair of fair dice is rolled. Let X the random variable representing the sum of the numbers that appear.Find P(3 ≤X≤ 10)

  1. Reduce the following expression to rectangular form:

a. 3i^24 - 4i^13 + i^8 + 5i - 8

b. 23∠42°

c. 5 cis 45°

d. 2e^0.234i


2. Convert the following complex numbers in exponential form and use principal value of argument.

a. 0.2 + 2.1i

b. 3.7∠45°

c. 4 cis 54°


3. Express the following complex numbers in polar form and use principal value of argument.

a.9 - 2i

b.4e^3i

c. 3 cis π/3



A new sneaker claims that it can make male athletes jump higher. A sample of 54 male athletes were asked to jump once with their own sneakers on and once wearing the new sneakers. The average jump increased by 0.98 inches with the new sneakers with a standard deviation of 1.22 inches. What is the standard error of the 95% confidence interval for the average jump increase?


There are hundreds of apples on the trees, so you randomly choose just 45 apples and get a mean weight of 89.05 grams with a standard deviation of 4.43 grams. Assuming that the weight of the apples is normally distributed, what is the standard error of the 90% confidence interval for the mean weight of the apples


using reimann integration show that line 1 + 1/2 + 1/3 .... + 1/n is lower bounded by ln n. show that line n is lower bounded by 1/2 + 1/3 + ..... + 1/n+1


Observe yourself in a day. find out how many Hours you spend in the following activities: House chores answering learning modules,Planting/Gardening, Using Social media,listening to music,watching television,and sleeping. Record your data. construct a probability Distribution, then compute the mean, variance and standards deviation that You made.


Write the expression for the following. z is divided by -9 and then 8 is suntracted from the result

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