Question

Interpole 4 meios aritimeticos entre 4 e 15

Answer 1

a1 = 4
an = 15

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Calcular a razão

an = a1 + ( n -1) . r
15 = 4 + ( 6 -1) . r
15 = 4 + 5r
11 = 5r
r = 11/5

===
an = a1 + ( n -1) . r
an an = 4 + ( 1 -1) .11/5 = 4
an = 4 + ( 2 -1) .11/5 =  31/5
an = 4 + ( 3 -1) .11/5  = 42/5
an = 4 + ( 4 -1) .11/5  = 53/5
an = 4 + ( 5 -1) .11/5  = 64/5
an = 4 + ( 6 -1) .11/5  = 15

PA  = (4, 31/5 , 42/5, 53/5, 64/5, 15 )

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Answer 2

An = A1 + (n - 1) . r 15 = 4 + (6 - 1) . r 15 = 4 + 5r 5r = 11 r = 11/5 r = 11/5 + 4 = 31/5 31/5 + 11/5 = 42/5 42/5 + 11/5 = 53/5 53/5 + 11/5 = 64/5 Logo, teremos: 4,31/5,42/5,53/5,64/5,15.