Which of the following correctly uses the explicit formula, An=1/4+(n−1)⋅1/2 , to find the 9th term of the described arithmetic sequence?(1 point) Responses 4 1/4 4 Start Fraction 1 over 4 End Fraction 43 /4 4 Start Fraction 3 over 4 End Fraction 8 1/4 8 Start Fraction 1 over 4 End Fraction 8 3/4 8 Start Fraction 3 over 4 End Fraction
To find the 9th term of the arithmetic sequence using the explicit formula An = 1/4 + (n-1)(1/2), we substitute n = 9 into the equation:
A9 = 1/4 + (9 - 1)(1/2)
= 1/4 + 8(1/2)
= 1/4 + 4
= 4 1/4
Therefore, the correct answer is 4 1/4.