Question

Ayudaaaa completa porfavor con procedimiento

Answer 1

Respuesta:

Explicación paso a paso:

1 )

$a_{1} = 1 ; a_{2} = 6 ; d = 5 ; a_{n} =?$

$a_{n} =a_{1} + (n-1)*d = 1 + ( n-1 )* ( 5 ) = 1 + 5n -5$

$a_{n} = 5n-4$

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2 )

$a _{1} = 5 ; a_{2} = 13 ; d = 4 ; a_{n} =?$

$a_{n} = a_{1} + (n-1 )*d = 5 + ( n-1 ) * 4 = 5 + 4n - 4$

$a_{n} = 4n +1$

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3 )  $a_{5} = a_{1} + 4 (8)$    

   $33 = a_{1} + 32$

$a_{1} = 33-32$

$a_{1} =1$ $, d = 8 ; a_{n} =?$

$a_{n} = a_{1} + (n-1 )*d = 1 + (n-1 ) * 8 = 1 + 8n -8$

$a_{n} = 8n-7$

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4 )

$a_{1} = 12 ; a_{2} = 17 ; n= 32 ; a_{32} =?$

$Diferencia: d = a_{2} -a_{1} = 17-12 = 5$

$a_{n} = a_{1} + (n-1 ) * d$

$a_{32} = 12 + ( 32-1 )* 5 = 12+ (31 )* 5 = 12 + 155$

$a_{32} = 167$