“Sequences” Homework Name: ___________________________________ Date: ________________________ Block: _______________________ The items below are all part of arithmetic or geometric sequences. Study them to determine the rule. Use the rule to help fill in the missing values. The record the rule, the starting term, and whether each sequence is arithmetic (A) or geometric (G) in the appropriate columns. Part of Sequence Starting Number Rule Type of Sequence (A) or (G) 3, 6, 9, 12, ____ 20, 25, 30, 35, ____ 3, 12, 21, 30, _____ 62, 56, 50, ____, 38 4, 6, 8, 10, _____, 14 1, 2, 4, 8, 16, _____ 4, 12, 36, 108, ____ 30, 26, 22, 18, ____ 6, 18, 30, 42, ____ 56, 49, 42, 35, ____ Write the first 5 terms in a sequence with a starting number of 5 and a rule of add 3. ______, ______, ______, _______, _______ Is this an arithmetic or geometric sequence? Haven decided to start training for track. The first day, she jogged 6 laps. The second day, she jogged 12 laps. The third day, she jogged 18 laps. If this pattern continues, how many laps did she jog on the fourth day? (a) 22 laps (b) 24 laps (c) 36 laps (d) 30 laps Denis went to the fair several days in a row. The first day he spent $2. The second day he spent $4. The third day he spent $8. If this pattern continues, how much did Denis spend on the 5 th day? (a) $16 (b) $10 (c) $24 (d) $32 A tennis tournament starts with 16 people. The number in each round is shown in the table. How many players will be in the 4 th round? 1st Round = 16 players 2nd Round = 8 players 3rd Round = 4 players 4th Round = ? players