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

asked Jul 27, 2021 124k views

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4 votes

Answer:

Explanation:

This is an arithmetic sequence

a1 = -2

Difference = 2nd term - first term

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

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

Adifyr answered Aug 1, 2021

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