Find a12 given the geometric sequence 2, -6, 18, -54, ... A. 1,062,882
B.-1,062,882
C. 354,294
OD. -354,294

Step-by-step explanation:

Since the above sequence is a geometric sequence

For an nth term in a geometric sequence

where

a is the first term

r is the common ratio

n is the number of terms

From the question

a = - 6

To find the common ratio divide the next term by the previous term

That's

r = 18/-6 = - 3 or -54/18 = - 3

Since we are finding the 12th term

n = 12

Substitute these values into the above formula

We have

We have the final answer as

Hope this helps you

answer: i guess 105 degrees?

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15