Guided Practice Write a rule for a geometric sequence that has −6negative 6 as its first term and a common ratio of 2. What is the tenth term of this sequence?

A.
an=2 · −610−1; −20,155,392a subscript n baseline equals 2 times negative 6 superscript 10 minus 1 baseline semi-colon negative 20,155,392

B.
an=−6 · 2n; −6,144a subscript n baseline equals negative 6 times 2 superscript n baseline semi-colon negative 6,144

C.
an=−6 · 2n−1; −3,072a subscript n baseline equals negative 6 times 2 superscript n minus 1 baseline semi-colon negative 3,072

The Answer IS Either Letter B Or Letter C

B.

an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline

Step-by-step explanation: I Think The Answer IS Letter B

Simplify the matrix.

a = 100 ,

a n = 12 a n − a ,

1 ,

100 ,

n , − h a l f ,

n ,

1

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

for future students the answer is b

hope i

-lavira: )