Question

A quantidade de múltiplos de 4 entre 101 e 2001 é igual a: *
A) 475
B) 476
C) 975
D) 976
E) 474

Answer 1

$\large\boxed{\begin{array}{l}\sf (104,108,...2000)\\\sf a_n=2000\\\sf r=112-108=4\\\sf n=?\\\sf a_n=a_1+(n-1)\cdot r\implies n=\dfrac{a_n-a_1}{r}+1\\\\\sf n=\dfrac{2000-104}{4}+1\\\\\sf n=\dfrac{1896}{4}+1\\\\\sf n=474+1\\\sf n=475\\\huge\boxed{\boxed{\boxed{\boxed{\sf\dagger\red{\maltese}~\blue{alternativa~A}}}}}\end{array}}$