Question

find the common difference and write out the first four terms of the arithmetic sequence \\(\frac{1}{1}n - \frac{4}{5}\\)

common difference is

\\(a_1 =\\) , \\(a_2 =\\) , \\(a_3 =\\) , \\(a_4 =\\)

Explanation:

Step1: Identify the sequence formula

$$a_n = \frac{1}{1}n - \frac{4}{5} = n - \frac{4}{5}$$

Step2: Find the common difference

$$d = a_{n+1} - a_n = 1$$

Step3: Calculate the first term

$$a_1 = 1 - \frac{4}{5} = \frac{1}{5}$$

Step4: Calculate the second term

$$a_2 = 2 - \frac{4}{5} = \frac{6}{5}$$

Step5: Calculate the third term

$$a_3 = 3 - \frac{4}{5} = \frac{11}{5}$$

Step6: Calculate the fourth term

$$a_4 = 4 - \frac{4}{5} = \frac{16}{5}$$

Answer:

Common difference is \(1\)
\(a_1 = \frac{1}{5}\)
\(a_2 = \frac{6}{5}\)
\(a_3 = \frac{11}{5}\)
\(a_4 = \frac{16}{5}\)