6.(08.04)
what is the sum of the geometric sequence 2, 8, 32, if there are 8 terms?

43,690.

Step-by-step explanation:

The common ratio r is 8/2 = 32/8 = 4.

Sum of n terms = a1 * (r^n - 1) / (r - 1).

a1 = 2 and r = 4 so

Sum of 8 terms = 2 *(4^8 - 1) / (4 - 1)

= 2 * 65535 / 3

= 43,690.

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)