PyPDF2 import PdfReader

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pdf_path = '/mnt/data/1736654233133gj4gp4a0.pdf' pdf_reader = PdfReader(pdf_path)

Extract text from the first page of the PDF

page_text = pdf_reader.pages[0].extract_text() page_textThe PDF you uploaded appears to contain a mathematical problem in Indonesian. From what I can extract, the problem statement is about determining solutions for different mathematical queries. Here's a translation of the relevant parts:

Problem 1:

Given the arithmetic sequence where the first term is 24 and the third term is 36, determine the sum of the sequence.

This sounds like a problem dealing with an arithmetic sequence (or deret aritmatika). To solve this, we can use the following known formulas for an arithmetic sequence:

1. $a_n = a_1 + (n-1) \cdot d$ — for the nth term, where:

   • $a_1$ is the first term.
   • $d$ is the common difference.

2. The sum of the first $n$ terms is given by: $S_n = \frac{n}{2} \cdot (a_1 + a_n)$

However, since the second part of the problem mentions the sum of the sequence, I need to find $d$ first and then calculate the sum.

Steps:

1. Find the common difference $d$: From the second term formula for an arithmetic sequence: $a_3 = a_1 + 2d$ Substituting the given values: $36 = 24 + 2d$ Solve for $d$: $36 - 24 = 2d \quad \Rightarrow \quad d = 6$

2. Sum of the sequence: If the problem intends for us to find the sum of the first 3 terms, the sum can be calculated as: $S_3 = \frac{3}{2} \cdot (a_1 + a_3)$ Substituting the known values: $S_3 = \frac{3}{2} \cdot (24 + 36) = \frac{3}{2} \cdot 60 = 90$

Thus, the sum of the first 3 terms is 90.

Would you like more details on the steps or help with another question from the document? Here are some follow-up questions to explore further:

1. How do you derive the formula for the sum of an arithmetic sequence?
2. What happens if we are given a different number of terms, say 5, in the sequence?
3. How can you determine the sum of an infinite arithmetic sequence?
4. How do you handle geometric sequences compared to arithmetic ones?
5. How do you find the nth term and the sum for geometric sequences?

Tip: To solve problems with sequences, always identify the first term and common difference (or ratio) first, as they are key to solving most sequence problems.