write the first five terms of the geometric sequence with the given 1st term and the common ratio.

hi can someone please answer my question i really need the complete step-by-step solution thank you ❤️ ​

write the first five terms of the geometric sequence with the given 1st term and the common ratiohi can someone please answer my question i really need the comp class=

Respuesta :

Answer:

  • 1/2, 1/4, 1/8, 1/16, 1/32

Step-by-step explanation:

Given GP with:

  • [tex]a_1= 1/2, r = 1/2[/tex]

The equation for nth term is:

  • [tex]a_n=a_1*r^{n-1}[/tex]

Find the first 5 terms:

  • [tex]a_1=1/2\\a_2=1/2*1/2=1/4\\a_3=1/2*(1/2)^2=1/8\\a_4=1/2*(1/2)^3=1/16\\a_5=1/2*(1/2)^4=1/32[/tex]