Question

use the formula for the general term (the nth term) of an arithmetic sequence
a₁ = 4; d = 5

a₅₀ = \square

Explanation:

Step1: Recall the arithmetic sequence formula

The formula for the nth term of an arithmetic sequence is \( a_n = a_1 + (n - 1)d \), where \( a_1 \) is the first term, \( d \) is the common difference, and \( n \) is the term number.

Step2: Identify the given values

We are given \( a_1 = 4 \), \( d = 5 \), and we need to find \( a_{50} \), so \( n = 50 \).

Step3: Substitute the values into the formula

Substitute \( a_1 = 4 \), \( d = 5 \), and \( n = 50 \) into the formula:
\( a_{50} = 4 + (50 - 1) \times 5 \)

Step4: Simplify the expression

First, calculate \( 50 - 1 = 49 \). Then, multiply \( 49 \times 5 = 245 \). Finally, add \( 4 + 245 = 249 \).

Answer:

\( 249 \)