l = a + (n-1) \cdot d \implies 9995 = 1000 + (n-1) \cdot 5

Wed, 06 May 2026 03:35:50 +0000

# Solving the Arithmetic Linear Equation: How to Use l = a + (n – 1) · d to Find 9995 – 1000 Under a Common Difference of 5 Mathematics is not only about numbers—it’s also about patterns, relationships, and solving equations. One powerful tool in algebra is the linear formula:
l = a + (n – 1)·d
This equation is widely used in sequences, progressions, and real-world applications. Whether you’re analyzing sequences or solving for unknowns, understanding how to apply this formula can save time and improve problem-solving accuracy. ### Understanding the Equation
The formula
l = a + (n – 1)·d
describes the last term (l) of a first-term arithmetic sequence, where:
- a = starting term
- d = constant difference between consecutive terms
- n = number of terms
- l = the final term in the sequence This formula is ideal for calculating values in arithmetic sequences without listing every term—especially useful when dealing with large sequences like 9995.