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Sagot :
The function for an arithmetic sequence is
[tex]a_n=-2n+14[/tex]
Given :
Given point are (3,8) and (4,6)
To find function for arithmetic sequence , Lets frame an equation using slope intercept form f(x)=mx+b
where m is the slope and b is the y intercept
Lets find out slope using the given points
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{6-8}{4-3} =-2[/tex]
Now we find y intercept b. Use point (3,8)
x is 3 and f(x) is 8
[tex]y=mx+b\\y=-2x+b\\8=-2(3)+b\\8=-6+b\\Add 6\\b=14[/tex]
Function becomes f(x)=-2x+14
The function for an arithmetic sequence is
[tex]a_n=-2n+14[/tex]
Learn more : /brainly.in/question/36917215
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