The first 4 sequence of Arithmetic progression is 42, 37, 32, 27.
Let n =1
[tex]a_{n} = 42-5(n-1)\\a_{1} = 42-5 (1-1)\\a_{1} = 42[/tex]
Let n=2
[tex]a_{n} = 42-5(n-1)\\a_{2} = 42-5 (2-1)\\a_{2} = 42-5\\a_{2} = 37[/tex]
let n= 3
[tex]a_{n} = 42-5(n-1)\\a_{3} = 42-5 (3-1)\\a_{3} = 42-10\\a_{3} = 32[/tex]
Let n= 4
[tex]a_{n} = 42-5(n-1)\\a_{4} = 42-5 (4-1)\\a_{4} = 42-15\\a_{4} = 27[/tex]
What is arithmetic sequence?
An arithmetic sequence is a list of numbers with a specified pattern. If you take some number in sequence, subtract it from the previous one, and the result is always the same or constant, it is an arithmetic sequence.
An arithmetic sequence is defined in two ways. It is "a sequence in which the differences between any two consecutive terms are the same" (or) In an arithmetic sequence, "each term is obtained by adding a fixed number (positive or negative or zero) to the previous term. The following is an arithmetic sequence because each term is obtained by a fixed number when added to its previous term.
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