Question

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

-7, 3.5, -1.75 ...
a.
-0.5; 0.450, -0.8655, 0.45985
c.
-1.5; 0.450, -0.8655, 0.45985
b.
-0.5; 0.875, -0.4375, 0.21875
d.
-1.5; 0.875, -0.4375, 0.21875

Answer 1

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

Explanation:

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

`\displaystyle (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 * -0.5=0.875 \\\\ 0.875 * -0.5 = -0.4375 \\\\ -0.4375 * -0.5=0.21875`

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

Answer 2

b. -0.5; 0.875, -0.4375, 0.21875

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