Math Problem Statement

Paijo menabung di suatu bank. Pada bulan pertama, Paijo menabung sebesar Rp. 50.000,00. Bulan ke dua sebesar Rp. 550.000,00. Bulan ke tiga sebesar Rp. 60.000,00; dan seterusnya. Maka besar tabungan Paijo selama dua tahun adalah...

Solution

This problem involves Paijo saving money in a bank. The amount he saves each month is increasing by Rp. 10,000 every month. We can break down the pattern and sum it up to find his total savings over two years (24 months).

Here is the breakdown:

  • Month 1: Rp. 50,000
  • Month 2: Rp. 550,000
  • Month 3: Rp. 60,000
  • Then it keeps increasing by Rp. 10,000 each subsequent month.

Thus, the saving amount follows an arithmetic sequence after the second month. Let's summarize the information and solve it.


Step-by-Step Approach:

  1. Month 1 Saving: Rp. 50,000.
  2. Month 2 Saving: Rp. 550,000.
  3. Following months (Month 3 to Month 24): The saving amount increases by Rp. 10,000 starting from Rp. 60,000 for Month 3.

We need to find the total savings over 24 months.

I'll calculate the total amount and provide the final answer.The total savings Paijo accumulates over the two years (24 months) is Rp. 4,230,000. However, this amount doesn't match any of the answer options provided in the image.

Upon reviewing the question again, there may be a misunderstanding or missing information regarding how the saving increments occur. Please verify the monthly saving pattern, as it could help clarify the final calculation.

If you'd like further clarification or additional assistance, feel free to ask!


Here are 5 related questions you might want to explore:

  1. How do you calculate the sum of an arithmetic sequence?
  2. What other types of sequences could describe similar savings patterns?
  3. How do increasing interest rates affect long-term savings?
  4. Can you extend this saving pattern for 3 or more years?
  5. What happens if the monthly increase is not constant but percentage-based?

Tip: When solving arithmetic sequences, always ensure to clearly identify the first term, the common difference, and the number of terms to use the correct formula.

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Math Problem Analysis

Mathematical Concepts

Arithmetic Sequence
Summation

Formulas

Sum of an arithmetic sequence S = n/2 * (2a + (n - 1)d)

Theorems

Arithmetic sequence formula

Suitable Grade Level

Grades 10-12