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How will you identify the common difference of the sequence if An ( a sub n ) A2 ( a sub 2 ) are the given?.

Sagot :

Mlcparra16viz
[tex]a_n=a_1+(n-1)d \\ a_2=a_1+d [/tex]

We subtract the second equation from the first:
[tex]a_n-a_2= a_1+(n-1)d-a_1-d=(n-2)d[/tex]
so:
[tex] \frac{a_n-a_2}{n-2} =d[/tex]