Question

An arithmetic sequence is given below.18, 22, 26, 30,thWrite an explicit formula for the nthterm an

Answer 1

Step-by-step explanation:

Given the sequence: 18, 22, 26, 30

`\begin{gathered} We\text{ are asked to write it in the form:} \\ a_{n\text{ }}=\text{ c + \lparen n-1\rparen d} \\ c\text{ = first term = 18} \\ d\text{ is the common difference between terms.} \\ T3\text{ - T2 = 26 -22 = 4 = d} \\ a_{n\text{ }}=\text{ 18 + \lparen n-1\rparen4} \end{gathered}`

Answer: an = 18 + (n-1)4

an = 4n + 14