MATH SOLVE

4 months ago

Q:
# 7. What is the function for the arithmetic sequence 2, 7, 12, 17, 22, ..? (1 point)A(n) = 5 + (n - 1)(2)A(n) = 2 + (n - 1)(6)A(n) = 5.6A(n) = 2 + (n − 1)(5)

Accepted Solution

A:

The function for the arithmetic sequence 2, 7, 12, 17, 22, ... is A(n) = 2 + (n − 1)(5) ⇒ last answerStep-by-step explanation:A sequence is arithmetic if there is a constant difference between each two consecutive termsThe formula of the nth term of an arithmetic sequence is:[tex]a_{n}=a+(n-1)d[/tex] , where1. a is the first term2. d is the constant difference3. n is the position of the term∵ The arithmetic sequence is 2, 7, 12, 17, 22, .....∴ a = 2∵ 7 - 2 = 5∴ d = 5- Substitute the values of a and d in the formula∴ [tex]a_{n}=2+(n-1)(5)[/tex]∴ The function is A(n) = 2 + (n − 1)(5)The function for the arithmetic sequence 2, 7, 12, 17, 22, ... is A(n) = 2 + (n − 1)(5)Learn more:You can learn more about arithmetic sequence in brainly.com/question/7221312#LearnwithBrainly