Respuesta :
Answer:
[tex]\Large \boxed{\mathrm{\bold{B.} \ -0.5 \ ; \ 0.875 \ , \ -0.4375 \ , \ 0.21875}}[/tex]
Step-by-step explanation:
The common ratio can be found by finding the quotient of a term and the previous term in the sequence.
[tex]\displaystyle \frac{3.5}{-7} =-0.5[/tex]
The common ratio is -0.5.
The rule is to multiply a term in the sequence by -0.5 to get the next term.
Next 3 terms :
[tex]-1.75 \times -0.5=0.875 \\\\ 0.875 \times -0.5 = -0.4375 \\\\ -0.4375 \times -0.5=0.21875[/tex]
The next 3 terms are 0.875, -0.4375, 0.21875.
Answer:
b. -0.5; 0.875, -0.4375, 0.21875
Step-by-step explanation:
Given GP:
- -7, 3.5, -1.75 ...
Common ratio:
- r = a₂/a₁
- r = 3.5/-7 = - 1/2 = -0.5
Next 3 terms:
- -1.75* (-0.5) = 0.875
- 0.875*(-0.5) = - 0.4375
- -0.4375*(-0.5) = 0.21875
Correct answer choice is:
- b. -0.5; 0.875, -0.4375, 0.21875