Question

Question 1 Multiple Choice Worth 5 points)

Answer 1

• The explicit formula is:

$\boxed{a_{n}=5-2(n-1)}$

• The domain is any natural number.

Explanation:

The arithmetic sequence is defined as Follows:

A sequence of numbers whenever the difference of any two successive members of the sequence remains constant.

The explicit equation of any arithmetic sequence can be written as follows:

$a_{n}=a_{1}+d(n-1) \\ \\ \\ a_{1}: First \ term \\ \\ a_{n}:nth \ term \\ \\ d:Common \ ratio \\ \\ n:Number \ of \ term$

So here we know:

• First term is 5
• Second term is 3

$a_{1}=5 \\ \\ a_{2}=5+d(2-1)=3 \\ \\ \\ Isolating \ d: \\ \\ d=3-5 \\ \\ d=-2$

Finally, the explicit formula is:

$\boxed{a_{n}=5-2(n-1)}$

Moreover, the domain is any natural number.

Learn more:

Arithmetic sequence: brainly.com/question/10143621

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