Question

Interpolar 10 meios aritméticos entre 2 e 57 e escrever a P.A correspondente com primeiro termo igual a 2.

Answer 1

Encontrar a razão da PA:


an = a1 + ( n -1) . r
57 = 2 + ( 12 -1) . r
57 = 2 + 11r
55 = 11r  
r = 55 / 11
r = 5 

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an = a1 + ( n -1) . r  = an
an = 2 + ( 1 -1) .5  = 2
an = 2 + ( 2 -1) .5 = 7
an = 2 + ( 3 -1) .5 = 12
an = 2 + ( 4 -1) .5 = 17
an = 2 + ( 5 -1) .5 = 22
an = 2 + ( 6 -1) .5 = 27
an = 2 + ( 7 -1) .5 = 32
an = 2 + ( 8 -1) .5 = 37
an = 2 + ( 9 -1) .5 = 42
an = 2 + ( 10 -1) .5 = 47
an = 2 + ( 11 -1) .5 = 52
an = 2 + ( 12 -1) .5 = 57


PA = ( 2, 7, 12, 17, 22, 27, 32, 37, 42, 47, 52, 57 )