Arithmetic Sequences Geometric Sequences May 18 Section 13.1 Arithmetic Sequences Geometric Sequences

Puzzle #1 1 2 Your last ping-pong ball fell down into a narrow metal pipe imbedded in concrete one foot deep. How can you get it out undamaged, if all the tools you have are your tennis paddle, your shoe-laces, and an unopened water bottle (which does not fit into the pipe)? 3 4 5 6 7 8 9 All the tools are random things that are not going to help you. All you have to do is pour some water into the pipe so that the ball swims up on the surface. 10 11 12

May 18 Puzzle #2 1 2 A man who lives on the tenth floor takes the elevator down to the first floor every morning and goes to work. In the evening, when he comes back; on a rainy day, or if there are other people in the elevator, he goes to his floor directly. Otherwise, he goes to the seventh floor and walks up three flights of stairs to his apartment. Can you explain why? 3 4 5 6 7 8 The man is of short stature. He can't reach the upper elevator buttons, but he can ask people to push them for him. He can also push them with his umbrella. Chicken pot pie 9 10 11 12

May 18 Puzzle #3 1 2 How can you throw a ball as hard as you can and have it come back to you, even if it doesn't bounce off anything? There is nothing attached to it, and no one else catches or throws it back to you. 3 4 5 6 7 8 superstar 9 Throw the ball straight up in the air. 10 11 12

May 18 Puzzle #4 1 2 Tear me off and scratch my head what was red is black instead. What am I? 3 4 5 6 A match. 7 8 Grand prize 9 10 11 12

Puzzle #5 1 2 Who makes it, has no need of it. Who buys it, has no use for it. Who uses it can neither see nor feel it. What is it? 3 4 5 6 7 8 A coffin. 9 10 11 12

Puzzle #6 1 2 A ring is hidden in one of the following boxes. Unfortunately, only one or none of the inscriptions are true. Where is the ring hidden? Golden box The ring is in this box. Silver box The ring is not in this box. Lead box The ring is not in the golden box. 3 4 5 6 7 8 9 10 11 Silver box. 12

Puzzle #7 1 2 At least one inscription is true and at least one is false. Where is the ring hidden? Golden box The ring is not in the silver box. Silver box The ring is not in this box. Lead box The ring is in this box. 3 4 5 6 7 8 9 10 11 Golden box. 12

Puzzle #8 1 2 3 4 5 6 7 8 9 10 11 Top secret 12

Puzzle #9 1 2 3 4 5 6 7 8 9 10 11 Broken promises 12

Puzzle #10 1 2 3 4 5 6 7 8 9 10 11 Travel overseas 12

Puzzle #11 1 2 3 4 5 6 7 8 9 10 11 A friend in need 12

Puzzle #12 1 2 3 4 5 6 7 8 9 10 11 Get up & go 12

Puzzle #13 1 2 3 4 5 6 7 8 9 10 11 Painless operation 12

Puzzle #14 1 2 3 4 5 6 7 8 9 10 11 Safety in numbers 12

#1: Write the simplified formula for nth term of the sequence. 8 #1: Write the simplified formula for nth term of the sequence. 2 9 3 10 4 -10, -4, 2, 8, 14, … 11 5 12 6 an = 6n – 16 13 7 14

#2: What is the 50th term in the sequence? 1 8 #2: What is the 50th term in the sequence? 2 9 3 10 36,31,26,21,… 4 11 5 12 -209 6 13 7 14

#3: Write the following sequence in sigma notation. 1 #3: Write the following sequence in sigma notation. 8 2 9 3 10 12 + -5 + -22 + … 4 11 5 12 6 13 7 14

1 8 #4: Flowerton School District has created a pay schedule for substitute teachers where the daily salary will increase at a constant rate for every consecutive day that a teacher works. Ms. Atkinson’s salary for the first day was $40. How many consecutive days will Ms. Atkinson have to work to reach a total earnings of $1638? 2 9 3 10 4 11 5 12 18 days 6 13 7 14

#5: Which term of the sequence is 302? 1 8 #5: Which term of the sequence is 302? 2 9 3 10 2, 5, 8, …, 302 4 11 5 12 6 101 13 7 14

#6: Find S88 of the following sequence: 1 8 2 9 3 10 17, 21, 25, … 4 11 𝟏𝟔𝟖𝟎𝟖 5 12 6 13 7 14

#7: Given that an arithmetic sequence has a5 = -6 and a20 = -51, what is the 50th term? 8 2 9 3 10 -141 4 11 5 12 6 13 7 14

#8 Find the sum of the sequence 36, 32, 28, …,-84. 1 8 2 9 3 10 4 11 -744 5 12 6 13 7 14