Question

100PTS PLS HURRY I ONLY HAVE 40 MINUTES Determine the common ratio and find the next three terms of the geometric sequence.

Answer 1

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

Answer 2

Answer:

$\Large \boxed{\mathrm{\bold{B.} \ -0.5 \ ; \ 0.875 \ , \ -0.4375 \ , \ 0.21875}}$

Step-by-step explanation:

The common ratio can be found by finding the quotient of a term and the previous term in the sequence.

$\displaystyle \frac{3.5}{-7} =-0.5$

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 :

$-1.75 \times -0.5=0.875 \\\\ 0.875 \times -0.5 = -0.4375 \\\\ -0.4375 \times -0.5=0.21875$

The next 3 terms are 0.875, -0.4375, 0.21875.