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MissPhiladelphia
For the answer to the question above asking the explicit equation and domain for an arithmetic sequence with the first term of 5 and the second term of 2? I think the answer for this is 5-2(n-1); all integers where n≥0. I hope this helps.

Answer:

[tex]a_n= 8-3n[/tex] is the explicit equation, integers n>0

Step-by-step explanation:

an arithmetic sequence with a first term of 5 and a second term of 2

General formula for arithmetic sequence is [tex]a_n= a_1+(n-1)d[/tex]

where a1 is the first term and d is the common difference

[tex]a_1=5[/tex]

[tex]a_2=2[/tex]

Difference between the terms = 2-5=-3

Difference d=-3

a1=5, d=-3, plug in all the values

[tex]a_n= 5+(n-1)(-3)[/tex]

multiply -3 inside the parenthesis

[tex]a_n= 5-3n+3[/tex], combine like terms

[tex]a_n= 8-3n[/tex] is the explicit equation, n>0

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