Fins The General Term Of An Arithmetic Sequence Where A3=-1 And A10=18

Fins the general term of an arithmetic sequence where A3=-1 and A10=18

 

Answer:

An= -64/7+19/7n

Step-by-step explanation:

a10=18

a3=-1

d=(an-ak)/(n-k)

d=(18-(-1))/(10-3)

d=19/7

Find a1

18=a1+(10-1)(19/7)

18=a1+(9)(19/7)

18=a1+171/7

a1=-45/7

General Term

An=a1+(n-1)d

An=(-45/7)+(n-1)(19/7)

An=(-45/7)+19/7n-(19/7)

An= -64/7+19/7n

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