Questions: Find the term (a11) for the arithmetic sequence with first term, (a1=13), and common difference, (d=2). (a11=)

Solution Steps

To find the 11th term of an arithmetic sequence, we use the formula for the nth term: \( a_n = a_1 + (n-1) \times d \). Here, \( a_1 = 13 \), \( d = 2 \), and \( n = 11 \). Substitute these values into the formula to calculate \( a_{11} \).

To find the 11th term \( a_{11} \) of the arithmetic sequence, we use the formula for the nth term of an arithmetic sequence: \[ a_n = a_1 + (n-1) \times d \]

Given:

• \( a_1 = 13 \)
• \( d = 2 \)
• \( n = 11 \)

Substituting these values into the formula: \[ a_{11} = 13 + (11-1) \times 2 \]

Calculating the expression: \[ a_{11} = 13 + 10 \times 2 = 13 + 20 = 33 \]

Final Answer