Question

interpole 8 meios aritméticos entre 12 e 92

Answer 1

Encontrar a razão da PA

an = a1 + ( n -1) . r
92 = 12 + ( 10 -1) . r
92 = 12 + 9r
80 = 9r  
r = 80/9

an = a1 + ( n -1) . r =  an
a1 = 12 + ( 1 -1) .80/9 =  12
a2 = 12 + ( 2 -1) .80/9 =  188/9
a3 = 12 + ( 3 -1) .80/9 = 268/9
a4 = 12 + ( 4 -1) .80/9 = 348/9
a5 = 12 + ( 5 -1) .80/9 = 428/9
a6 = 12 + ( 6 -1) .80/9 = 508/9
a7 = 12 + ( 7 -1) .80/9 = 588/9
a8 = 12 + ( 8 -1) .80/9 = 688/9
a9 = 12 + ( 9 -1) .80/9 = 748/9
a10 = 12 + ( 10 -1) .80/90 = 92


PA = (12,  188/9 , 268/9,  348/9,  428/9, 508/9, 588/9, 688/9, 748/9, 92)