To write the explicit formula for an arithmetic sequence, you need the first term \( a_1 \) and the common difference \( d \).
The general explicit formula for the \( n \)-th term of an arithmetic sequence is given by:
\[ a_n = a_1 + (n - 1)d \]
Step 1: Determine \( a_1 \) and \( d \)
If you provide the first term \( a_1 \) and the common difference \( d \) of the arithmetic sequence, I can fill in the blanks and calculate the 50th term.
For example, if the first term \( a_1 = 3 \) and the common difference \( d = 2 \):
\[ a_n = 3 + (n - 1) \cdot 2 \]
Step 2: Find the 50th term
Using \( n = 50 \):
\[ a_{50} = 3 + (50 - 1) \cdot 2 \]
Calculating it:
\[ a_{50} = 3 + 49 \cdot 2 \] \[ a_{50} = 3 + 98 \] \[ a_{50} = 101 \]
Please provide the values for the first term and the common difference to proceed with your specific sequence!
1 answer