Dada uma PA a3 + a1 = 2, qual é o valor de a1 + a9.... Pergunta de ideia deGustavo5432

December 2019 1 100 Report

Dada uma PA a3 + a1 = 2, qual é o valor de a1 + a9

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TesrX

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Olá.

Temos que a3+a1=2 e queremos saber a1+a9.
Seguindo conceitos que foram citados em outras respostas, vamos trabalhar
$><br /><br />Note que os dois são bem semelhantes. Existe a regra de o valor do termo aumenta de acordo com a razão. Assim, faremos:<br /><img src=$

Agora temos como encontrar a razão e definir a P.A.
$\mathsf{2a_1+8r=8}\\ \mathsf{2a_1=8-8r}\\\\\\ \mathsf{2a_1+2r=2}\\ \mathsf{2a_1=2-2r}\\\\\\ \mathsf{8-8r=2-2r}\\ \mathsf{-8r+2r=2-8}\\ \mathsf{-6r=-6}\\\\ \mathsf{r=\dfrac{-6}{-6}=\boxed{\mathsf{+1}}}$
$\mathsf{2a_1+8r=8}\\
\mathsf{2a_1+8\cdot1=8}\\
\mathsf{2a_1+8=8}\\
\mathsf{(2a_1+8=8)^{:2}}\\
\mathsf{a_1+4=4}\\
\mathsf{a_1=4-4}\\
\boxed{\mathsf{a_1=0}}$

Podemos fazer a P.A apenas adicionando a razão linearmente.
$\mathsf{P.A=\{a_1,~a_2,~a_3,~a_4,~a_5,~a_6,~a_7,~a_8,~a_9\}}
\\\boxed{\mathsf{P.A=\{0,~~~1,~~2,~~3,~~4,~~5,~~~6,~~7,~~8\}}}$

Qualquer dúvida, deixe nos comentários.
Bons estudos.

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URGENTE ????? Uma enefermeira mediu a temperatura de um paciente com um terremoto quadrado na escala fahrenhit e encotrou 104 graus f a temperatura, desse paciente corresponde o m c a que e A)38 B)40 C)36 D)34 E)32

URGENTE URGENTE ????? 1) Complete wilt the simple present. A)Dogs(bark). B)They Usually(take) a bus. C)He_(work) near his house. D)Sara_(like) her job. E)Jonh_(get up) at 6:00 am. F)The film_(start) at 8:00 p.m. G)She____(read) a now book. 2) translate the 1 question.

Porque sentimos frio ? Porque utilizamos o coberto quando estamos com fio ?

URGENTE URGENTE ???? Complete wilth do or doer and traslate. A) I wilth tv? B)They usualty e at pizza? C)He go to school by Car? D)Peder go to the gym? E)Lisa study English? F)The cat drink milk? G)__you eat fish?

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URGENTE ????? Uma enefermeira mediu a temperatura de um paciente com um terremoto quadrado na escala fahrenhit e encotrou 104 graus f a temperatura, desse paciente corresponde o m c a que e A)38 B)40 C)36 D)34 E)32

URGENTE URGENTE ????? 1) Complete wilt the simple present. A)Dogs____(bark). B)They Usually______(take) a bus. C)He_____(work) near his house. D)Sara_____(like) her job. E)Jonh_____(get up) at 6:00 am. F)The film_____(start) at 8:00 p.m. G)She______(read) a now book. 2) translate the 1 question.

Porque sentimos frio ? Porque utilizamos o coberto quando estamos com fio ?

URGENTE URGENTE ???? Complete wilth do or doer and traslate. A)______ I wilth tv? B)______They usualty e at pizza? C)______He go to school by Car? D)______Peder go to the gym? E)______Lisa study English? F)______The cat drink milk? G)______you eat fish?

Recomendar perguntas

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URGENTE URGENTE ????? 1) Complete wilt the simple present. A)Dogs(bark). B)They Usually(take) a bus. C)He_(work) near his house. D)Sara_(like) her job. E)Jonh_(get up) at 6:00 am. F)The film_(start) at 8:00 p.m. G)She____(read) a now book. 2) translate the 1 question.

URGENTE URGENTE ???? Complete wilth do or doer and traslate. A) I wilth tv? B)They usualty e at pizza? C)He go to school by Car? D)Peder go to the gym? E)Lisa study English? F)The cat drink milk? G)__you eat fish?