The 3rd term of a geometric sequence is 36, and the 6th term is 972. Find the 10th term., A rubber ball is dropped from 128 cm. Each bounce reaches half the previous height. a. How high is the 8th bounce? b. What is the total height traveled during the first 8 bounces?, Mark invests ₱2,000 in a savings account that doubles every 5 years. a. What will be the value after 6 doubling periods? b. What is the total accumulated value over those 6 periods?, A bacteria culture doubles every hour. It starts with 50 bacteria. How many bacteria are there after 8 hours?, A staircase has 12 steps. The first step is 20 cm high, and each step is 2 cm higher than the previous one. a. How high is the last step? b. What is the total height of all the steps?, The first row of a theater has 18 seats. Each succeeding row has 4 more seats than the previous row. a. How many seats are in the 15th row?, A geometric sequence has a first term of 8 and a fifth term of 648. Find the common ratio., The 7th term of an arithmetic sequence is 40, and the 18th term is 95. Find the 30th term., A population of insects follows a geometric sequence. The first month's population is 150, and after four months it becomes 4,050. Find the common ratio., An arithmetic sequence has a first term of 8 and a twentieth term of 103. Find the common difference, A runner completes 6 km on the first day of training and increases the distance by the same amount each day. On the ninth day, the runner completes 18 km. Find the common difference., A bacteria culture grows from 50 bacteria to 3,200 bacteria in six equal time intervals. b. Determine the missing terms.

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