Math Problem Statement
Solution
Here is the transcribed list of the questions from the image you provided:
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Php 16 is saved on October 1, Php 20 on October 2, Php 30 on October 3, and so on. How much is saved during October (October has 31 days)?
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How many poles will a pile of telephone poles contain if there are 30 in the bottom layer, 29 in the second, and so on, until one telephone pole is in the top layer?
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Find three numbers in an arithmetic sequence such that the sum of the first and third is 10 and the product of the first and second is 15.
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Insert eight arithmetic means between 7 and 59 so that the sum of the resulting arithmetic sequence will be 450.
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Telephone poles are being stored in a pile with 25 poles in the first layer, 24 in the second, 23 in the third, and so on. If there are 12 layers, how many telephone poles does the pile contain?
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A drive-in theater has spaces for 20 cars in the first row, 22 in the second, 24 in the third, and so on. If there are 21 rows in the theater, find the number of cars that can be parked.
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An architect designs a theater with 15 seats in the first row, 18 in the second, 21 in the third, and so on. If the theater is to have a seating capacity of 870, how many rows must the architect use in his design?
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Margareth was advised by her physician to walk each day in the morning as a daily exercise. On the first day of June, she walks 10 m. On the third day, 15 m. On the fifth day, 20 m, and so on. How far will Margareth walk on the last day of the month?
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A banker with 15 seats in the first row, 18 in the second, 21 in the third, and so on. If the theater is to have a seating capacity of 870, how many rows must the architect use in his design?
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Redentor wishes to become a billionaire. She decides to follow a simple scheme: she puts aside Php 1 on the first day, Php 2 on the second day, Php 4 on the third day, and so on, doubling the number of pesos set aside daily. How many days will it take this woman to realize her wish?
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Find the sum of all integral powers of 2 from 1 to 1050.
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In the geometric series 2 + 4 + 8 + ..., how many terms would add up to 1022?
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Math Problem Analysis
Mathematical Concepts
Arithmetic sequences
Geometric sequences
Summation of series
Problem solving in sequences and patterns
Formulas
Sum of arithmetic series: S_n = (n/2) * (a + l)
Sum of geometric series: S_n = a(1 - r^n) / (1 - r)
Arithmetic term: a_n = a_1 + (n - 1) * d
Geometric term: a_n = a_1 * r^(n - 1)
Theorems
Arithmetic Mean Theorem
Geometric Progression Formula
Suitable Grade Level
Grades 8-10
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