Question

dada a p.g.(1,2,4...) calcule o quinto termo​

Answer 1

Termo geral:

An = a1 * Q ^ ( n -1 )

An = termo

a1 = 1° termo

Q = razão ( divisão do 2° termo pelo 1° )

n = quantidade

Cálculo:

An = 1 * 2 ^ ( 5 - 1 )

An = 1 * 2 ^ 4

An = 1 * 16

An = 16

Answer 2

$\large\boxed{\begin{array}{l}\underline{\sf Termo\,geral\,da\,PG}\\\underline{\sf em\,func_{\!\!,}\tilde ao\,de\,um\,termo\,p\,qualquer}\\\rm a_n=a_p\cdot q^{n-p}\end{array}}$

$\large\boxed{\begin{array}{l}\rm (1,2,4,\!\dotsc)\\\underline{\sf C\acute alculo\,da\,raz\tilde ao\!:}\\\rm q=\dfrac{a_2}{a_1}\\\\\rm q=\dfrac{2}{1}\\\\\rm q=2\\\underline{\sf C\acute alculo\,do\,5^o\,termo\!:}\\\rm a_5=a_3\cdot q^{5-3}\\\rm a_5=a_3\cdot q^2\\\rm a_5=4\cdot 2^2\\\rm a_5=4\cdot4\\\huge\boxed{\boxed{\boxed{\boxed{\rm\dagger\red{\maltese}~\blue{a_5=16}}}}}\end{array}}$