Find the 100th term in the arithmetic sequence

-19,-14,-9,-4,1 ...

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