Question

Interpolar oito termo aritméticos entre a 15e 42

Answer 1

Encontrar a razão da PA

an = a1 + ( n -1) . r

42 = 15 + ( 10 -1) . r

42 = 15 + 9r

27 = 9r

r = 3

===

an = a1 + ( n -1) . r = an

a1 = 15 + ( 1 -1) .3 = 15

a2 = 15 + ( 2 -1) .3 = 18

a3 = 15 + ( 3 -1) .3 = 21

a4 = 15 + ( 4 -1) .3 = 24

a5 = 15 + ( 5 -1) .3 = 27

a6 = 15 + ( 6 -1) .3 = 30

a7 = 15 + ( 7 -1) .3 = 33

a8 = 15 + ( 8 -1) .3 = 36

a9 = 15 + ( 9 -1) .3 = 39

a10 = 15 + ( 10 -1) .3 = 42

===

PA = (15 , 18, 21, 24 , 27 , 30 , 33 , 36 , 39 , 42)

Answer 2

an=a1+(n-1).r

42=15+(10-1).r

42-15=9r

9r=27

r=27/9

r=3

S={15,18,22,24,27,30,33,36,39,42}

espero ter ajudado!

bom dia !