Question

given: $a_n = 4n + 6$ find term number 50 in the arithmetic sequence

Explanation:

Step1: Identify the formula for the nth term

The formula for the nth term of the arithmetic sequence is given as \( a_n = 4n + 6 \). To find the 50th term, we need to substitute \( n = 50 \) into this formula.

Step2: Substitute n = 50 into the formula

Substitute \( n = 50 \) into \( a_n = 4n + 6 \):
\( a_{50} = 4(50) + 6 \)

Step3: Calculate the value

First, calculate \( 4(50) = 200 \). Then, add 6 to this result: \( 200 + 6 = 206 \).

Answer:

206