You seem to be providing parameters that resemble an arithmetic sequence problem. Let's break down the given values:

- \( t_i = 50 \) — This seems to represent the first term of the sequence.
- \( n = 15 \) — This could be the position of the term you want to find.
- \( d = -4 \) — This is the common difference of the arithmetic sequence.

### Formula for the \(n\)-th term of an arithmetic sequence:
\[
t_n = t_i + (n - 1) \cdot d
\]

### Substituting the values:
\[
t_{15} = 50 + (15 - 1) \cdot (-4)
\]
\[
t_{15} = 50 + 14 \cdot (-4)
\]
\[
t_{15} = 50 - 56
\]
\[
t_{15} = -6
\]

### Answer:
The 15th term of the sequence is \( t_{15} = -6 \).

Would you like a more detailed explanation, or do you have any other questions?

Here are five related questions to explore further:
1. How can we find the sum of the first 15 terms of this sequence?
2. What happens to the sequence if the common difference becomes positive?
3. How do we derive the general formula for the sum of an arithmetic sequence?
4. How do arithmetic sequences differ from geometric sequences?
5. How can we solve for the common difference if the first and last terms are given?

**Tip**: The sum of an arithmetic sequence can be found using the formula \( S_n = \frac{n}{2} (t_1 + t_n) \).

Learn how to find the 15th term of an arithmetic sequence with the first term 50 and common difference -4. This problem is solved using the arithmetic sequence formula, making it ideal for students in Grades 8-10 looking to strengthen their algebra skills.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation