Question

Determine a razão e o décimo termo da P.G (4 , 8 , 16 , ..)

Answer 1

$P.G (4 , 8 , 16 , ..)\\\\\\ razao\to \frac{a_2}{a_1} = \frac{8}{4} \to q=2\\\\ a_{1} =4\\ n=10\\ a_{n} = a_{10} =?\\\\\\ a_{n} = a_{1} *q^{n-1} \\\\\\ a_{10} = 4 *2^{10-1}\\ \\ a_{10} = 4 *2^{9} \\\\ a_{10} = 4 *512 \\\\ a_{10} =2048$