Assinale a opção que indica o valor de 2 + 4 + 6 + ... + 2020 + 2022 - 1-3-5 - ... - 2019 - 2021 (A) - 1011. (B) - 1010. (C) 1009. (D) 1010. (E) 1011.
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Resposta:E …….1011
a2022= a1+(n-1).r
2022=2+(n-1).2
2022=2+2n-2
2022=2n
n=1011
S=(2+2022).1011/2=2024.1011/2=1012.1011
a2021=a1+(n-1).r
2021=1+(n-1).2
2021=1+2n-2
2021-1+2=2n
2022=2n
n=1011
S= (1+2021).1011/2 =2022.1011/2=1011.1011
Spares-S ímpares = 1012.1011-1011.1011=1011.(1012-1011)= 1011.1 = 1011
a2022= a1+(n-1).r
2022=2+(n-1).2
2022=2+2n-2
2022=2n
n=1011
S=(2+2022).1011/2=2024.1011/2=1012.1011
a2021=a1+(n-1).r
2021=1+(n-1).2
2021=1+2n-2
2021-1+2=2n
2022=2n
n=1011
S= (1+2021).1011/2 =2022.1011/2=1011.1011
Spares-S ímpares = 1012.1011-1011.1011=1011.(1012-1011)= 1011.1 = 1011
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