Find a Sub one if a sub 8 is equal to 54 and a sub 9 is equal to 60

Given that \( a_8 = 54 \) and \( a_9 = 60 \), we need to find \( a_1 \).

Assuming the sequence is an arithmetic sequence, the difference between consecutive terms is constant. Let's denote this common difference as \( d \).

1. **Step 1: Find the common difference \( d \):**
   \[
   d = a_9 - a_8 = 60 - 54 = 6
   \]

2. **Step 2: Express \( a_8 \) in terms of \( a_1 \):**
   Since \( a_8 \) is the 8th term, we can write it as:
   \[
   a_8 = a_1 + 7d
   \]
   Substituting \( a_8 = 54 \) and

Discover how to find the first term \( a_1 \) in an arithmetic sequence when given \( a_8 = 54 \) and \( a_9 = 60 \). This problem involves using the arithmetic sequence formula and understanding the properties of arithmetic sequences. Suitable for Grades 9-10.

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