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Activty 1 of Mathematics, Cheat Sheet of Mathematics

this is just an activity and a way to get a docu

Typology: Cheat Sheet

2023/2024

Uploaded on 09/14/2023

nehemiah-jordan
nehemiah-jordan 🇵🇭

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ACTIVITY 2
A. Solve the following problems and show your solution.
1. In the arithmetic sequence –7, –5, –3, …, find the 14th term.
2. In the geometric sequence 3, 6, 12, 24,…, find the 8th term
B. Solve the following and show your solution.
a. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term?
b. The first term of an arithmetic sequence is 4 and the tenth term is 67. What is the common
difference?
c. Given the first two terms in a geometric progression as 2 and 4, what is the 10th term?
d. There are 15 rows of seats in a concert hall: 25 seats are in the 1st row, 27 seats in the 2nd
row, 29 seats on the 3rd row, and so on. If the price per ticket is ₱2 300, how much will be the
total sales for a one-night concert if all seats are taken?
e. A culture of bacteria doubles every two hours. If there are 200 bacteria at the beginning, how
many bacteria will there be after 20 hours?

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ACTIVITY 2 A. Solve the following problems and show your solution.

  1. In the arithmetic sequence –7, –5, –3, …, find the 14th^ term.
  2. In the geometric sequence 3, 6, 12, 24,…, find the 8th^ term B. Solve the following and show your solution. a. The fifth term of an arithmetic sequence is 11 and the tenth term is 41. What is the first term? b. The first term of an arithmetic sequence is 4 and the tenth term is 67. What is the common difference? c. Given the first two terms in a geometric progression as 2 and 4, what is the 10th term? d. There are 15 rows of seats in a concert hall: 25 seats are in the 1st row, 27 seats in the 2nd row, 29 seats on the 3rd row, and so on. If the price per ticket is ₱2 300, how much will be the total sales for a one-night concert if all seats are taken? e. A culture of bacteria doubles every two hours. If there are 200 bacteria at the beginning, how many bacteria will there be after 20 hours?