Math Problem Statement
Solution
I see the questions provided in the image pertain to sequences and series (Arithmetic and Geometric Progressions). Let’s go through them step by step to find solutions:
Question 7
Recruitment in a shoe factory follows an arithmetic sequence. January: 200 employees, February: 240 employees, March: 280 employees, etc. Find the total recruitment for one year.
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Identifying the sequence:
The first term , the common difference . -
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Math Problem Analysis
Mathematical Concepts
Arithmetic Progression
Geometric Progression
Exponential Growth
Summation of Series
Formulas
Sum of Arithmetic Series: S_n = n/2 * (2a + (n-1)d)
Sum of Geometric Series: S_n = a * (r^n - 1) / (r - 1)
Exponential Growth Formula: N_t = N_0 * 2^(t/T)
Theorems
Properties of Arithmetic and Geometric Sequences
Exponential Growth in Bacteria Doubling
Suitable Grade Level
Grades 9-10
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