Question

interpole 4 meios geometricos entre o numero 1 e 7776

Answer 1

P.G.(1,            7776)

A 6 = A 1 . Q^N - 1
7776 = 1 . q^5
6^5 = q^5
q = 6

a 2 = a 1 .q = 1 . 6 = 6
a 3 = a 2 . q = 6 . 6 = 36
a 4 = a 3 . 6 = 36 . 6 = 216
a 5 = a 4 . q = 216 . 6 = 1296
a 6 = a 5 . 6 = 1296 . 6 = 7776

P.G.(1,6,36,216,1296,7776)

Answer 2

resolução!

an = a1 * q^n - 1

7776 = 1 * q^5

7776 = q^5

6^5 = q^5

q = 6

PG = { 1 , 6 , 36 , 216 , 1296 , 7776 }