17. What is the first 5 terms of the sequence? Assume that n begins with 1. 1. an = 10 (-)" [A] 10, 10/3, 10/9, 10/27, 10/81 [B] 10/3, 10/9, 10/27, 10/81, 10/243 [C] 10. 10/3, 5/2, 2. 5/3 [D] 10, 11/3, 2, 13/9, 17/6
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- PROVE 1.11+2.2! +3.3!+----n.n!=(n++)!-1 A n>=11.How many license plates consisting of 6 digits (0 to 9) have their digits in strictly increasing order?1. Due to the high incidence of crime, a company is giving its employees new and secured access to the company. Instead of leaving the doors open, they are installing a card system. To open the door, employees must insert a card into a slot. If a green light comes on, it is okay to turn the handle and open the door; if a yellow light comes on it indicates the door is locked from inside and you cannot enter. Suppose that 90% of the time when the card is inserted, the door should open because it is not locked from the inside. When the door should open, the system makes errors 2% of the time. That is, the green light will appear 98% of the time. When the door should not open, the system makes errors 5% of the time (green light appears). Suppose you inserted the card and the light is green, what is the probability the door will open?
- Find the number of 4-digit even numbers formed using the digits 0 to 5 when repetition of digits is allowed and when it is not. Zero cannot be placed in front. Repetition allowed: _____ways Repetition not allowed: ____ waysSuppose that an outbreak of cholera follows severe flooding in an isolated town of 3198 people. Initially (Day 0), 62 people are infected. Every day after, 15% of those still healthy fall ill. At the beginning of the first day (Day 1), how many people are still healthy? How many will fall ill during the first day? What is the total number of people infected after the first day5-ATTCHED
- Suppose that 43% of people own dogs. If you pick two people at random, what is the both own a dog? Give your answer as a decimal (to at least 3 places) or fractionHow many 3 or 4 digit even numbers greater than 700 can be formed by: a. Using the digits 0-9. Repetition is allowed. b. Using the digits 2, 3, 5, 6, 8, 9. Repetition is not allowedLicense plates in a particular state are to consist of 3 digits followed by 2 uppercase letters. How many different licenses plates can be there if the first digit can’t be 1, and repetition of letters and numbers is not permitted?
- How many even number more than 10 but less than 800 can be formed from the digits 1, 4, 5, 6, 8 and 9? (with repetition)How many 4-digit numbers greater than 5000 can be formed from the digits 2, 4, 5, 7, 8, and 0? Assume that repetition is not allowed.2.How many license plates consisting of 6 digits (0 to 9) have their digits in nondecreasing order?