3 years ago

Find the 100th term in the arithmetic sequence -19,-14,-9,-4,1...

Mathematics

1 answer:

Alex73 [517]3 years ago

4 0

Answer:

476

Step-by-step explanation:

hello :

the common diference is : d = ( 1)-(-4)=(-4)-(-9)=(-9)-(-14)=(-14)-(-19)=5

the firt term is A1 = -19

the n-ieme term is : An = A1 +(n-1)d

An = -19+5(n-1)

An = 5n-24

the 100th term in the arithmetic sequence is : A100 = 5(100)-24 =476

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