Question

A table of values of a linear function is shown below.
x -2 -1 0 1 2.
y -2 1 4 7 10.
Find the equation.

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Answer 1

$</p><p>f(n)=3n−5</p><p></p><p>Let the linear function be f(n)=an+b</p><p>Given, f(1)=−2</p><p>⇒−2=a+b     ...(i)</p><p>Again, f(2)=1</p><p>⇒1=2a+b     ...(ii)</p><p>On subtracting (ii) from (i)</p><p>a=3</p><p>From (i) b=−5</p><p>∴f(n)=3n−5</p><p>Hence, option C is correct</p><p></p><p>$