Ageometric sequence is 3/4,9,108,1296,15,552,186,624.. which is the general term of the sequence?

a(n) = (3/4)(12)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common factor and n is the index (first, second, third, etc.).

Here the first term is 3/4.  By what figure must we multiply 3/4 to obtain the next term, 9?  Dividing 9 by 3/4 results in 12.  The next term, 108, is found by multiplying 9 by 12.  And so on.  Thus, we conclude that the common factor, r is 12.

Thus, the general formula becomes:

a(n) = (3/4)(12)^(n-1).

b. x- 48 =120

step-by-step explanation:

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)