Question

Help!! Giving out medals ;)
Find the common ratio of the sequence
-164, -82, -41, -20.5,..

A. 2
B. -82
C. 1/2
D. 82

Answer 1

@gxldmouth, what happened in the first number \(-164\) to become the second number \(-82\)?

Answer 2

its evident that the numbers get smaller (technically bigger as it is negatives) right?

Answer 3

@gxldmouth?

Answer 4

this is how you can find \(\large\color{black}{r }\) (the common ratio): \(\Large\color{blue}{r= a_{n}~\div~a_{n-1}}\)

Answer 5

n1 = -164
n2 = -82

n1 = k * n2

What is the constant k?

Answer 6

rather n2 = k*n1

what is the proportionality constant k?

Answer 7

you can use either of the following:

~ \(\Large\color{blue}{r= a_{2}~\div~a_{1}}\)
~ \(\Large\color{blue}{r= a_{3}~\div~a_{2}}\)
~ \(\Large\color{blue}{r= a_{4}~\div~a_{3}}\)

Answer 8

don't get my notations?

Answer 9

what do u think the numbers are doing each step
hint
a. adding two
b. subtracting 82
c. dividing by two
d. adding 82

Answer 10

same as @SolomonZelman ,

\(\large\color{blue}{ {\bf a2 ~~\alpha ~~r*a1} }\)

Answer 11

same as @DanJS and @SolomonZelman but mine is a cheat sheet ;)

Answer 12

I think all the funny 'letters' scared him away

Answer 13

lol

Answer 14

one more thing I will say:
\(\large\color{black}{ a_{_1},~~~~~~~~~~~~~~~~~~~~a_{_2},~~~~~~~~~~~~~~~~~~~~a_{_3},~~~~~~~~~~~~~~~~a_{_4},~~~ }\)

\(\large\color{black}{ \Downarrow~~~~~~~~~~~~~~~~~~~~~~~\Downarrow~~~~~~~~~~~~~~~~~~~\Downarrow~~~~~~~~~~~~~~~~~\Downarrow~~~ }\)

\(\large\color{black}{ -164,~~~~~~~~~~~~-82,~~~~~~~~~~~~~~~-41,~~~~~~~~~~~~~~-20.5,~~~ }\)

Answer 15

i need help

Answer 16

i need an answer

Answer 17

Express the answer in simplest form.
-1/3+w=5and 3 over 8 and the answer has to be a mixed fraction

Answer 18

i will give medal