Question

A rule for nth term of -2 , -5/4 ,-1/2,1/4

Answer 1

Explanation:

This is an arithmetic sequence

a1 = -2

Difference = 2nd term - first term

`=(-5)/(4)-[-2]\\\\=(-5)/(4)+2\\\\=(-5)/(4)+(2*4)/(1*4)\\\\=(-5+8)/(4)=(3)/(4)`

`a_(n)=a+(n-1)d\\\\=-2+(n-1)*((3)/(4))\\\\=-2+(3)/(4)n-(3)/(4)\\\\=(-2*4)/(1*4)-(3)/(4)+(3)/(4)n\\\\=(-8-3)/(4)+(3)/(4)n\\\\=(-11)/(4)+(3)/(4)n`