Problem

Find the nth term of the arithmetic sequence with the given values. \[ a_{1}=\frac{5}{3}, d=\frac{1}{6}, n=618 \] The 618 th term is $a_{618}=$ ( Simplify your answer. Type an integer or a fraction.)

Solution

Step 1 :Given the first term of the arithmetic sequence \(a_{1} = \frac{5}{3}\), the common difference \(d = \frac{1}{6}\), and the term number \(n = 618\).

Step 2 :The nth term of an arithmetic sequence can be found using the formula: \(a_{n} = a_{1} + (n-1) * d\).

Step 3 :Substitute the given values into the formula to find the 618th term: \(a_{618} = \frac{5}{3} + (618-1) * \frac{1}{6}\).

Step 4 :Simplify the expression to get the final answer: \(a_{618} = \frac{209}{2}\).

Step 5 :Final Answer: The 618th term of the arithmetic sequence is \(a_{618} = \boxed{\frac{209}{2}}\).

From Solvely APP
Source: https://solvelyapp.com/problems/ZtV4xk2mle/

Get free Solvely APP to solve your own problems!

solvely Solvely
Download