Question

Find the common difference of the arithmetic sequence –8, -2, 4, ...

Answer 1

d = 6

Explanation:

`a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_(n-1)\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6`