Question

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) = 5.6
A(n) = 2 + (n − 1)(5)​

Answer 1

The function for the arithmetic sequence 2, 7, 12, 17, 22, ... is

A(n) = 2 + (n − 1)(5)​ ⇒ last answer

Step-by-step explanation:

A sequence is arithmetic if there is a constant difference between

each two consecutive terms

The formula of the nth term of an arithmetic sequence is:

$a_{n}=a+(n-1)d$ , where

1. a is the first term

2. d is the constant difference

3. 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

∴ $a_{n}=2+(n-1)(5)$

∴ 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

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