How many winners are there in total explain

Reference no: EM132303089

Questions -

Q1. For each sequence, make a table of value using term number and term and calculate the finite differences. Then, determine an explicit formula and specify the domain.

a. 2, 9, 16, 23, ...

b. -10, -9, 0, 17, ...

Q2. The multiples of 5 are printed in the columns of a BINGO game card as shown.

B	I	N	G	O
5	10	15	20
	40	35	30	25
45	50	55	60
	80	75	70	65
85	90	95	100

If the numbers continue in this pattern, in which column will the number 5555 occur? Explain your answer.

Q3. Write the first four terms the sequence t₁ = 8, t_n = 2n - 3t_n-1, where n ∈ N.

Q4. Determine a recursion formula for 4, 8, 16, 32, ...

Q5. Determine whether the following sequences are arithmetic, geometric, or neither. Justify your choice.

a. 5, 3, 1, -1, ...

b. 1/2, 1/6, 1/18, 1/54, ...

c. 1, √2, √3, 2, √5, ...

Q6. Which term of the geometric sequence 3/64, -3/16, 3/4, ... has a value of 192?

Q7. For each arithmetic sequence, determine the formula for the n^th term.

a. t₅ = -20 and t₁₈ = -59

b. t₇ = 3 + 5x and t₁₁ = 3 + 23x

Q8. In a lottery, the owner of the first ticket drawn receives $10000. Each successive winner receives $500 less than the previous winner.

a. How much does the 10^th winner receive?

b. How many winners are there in total? Explain.

Q9. In a geometric series, t₁ = 23, t₃ = 92, and the sum of all of the terms of the series is 62 813. How many terms are in the series?

Reference no: EM132303089

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