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).

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

answer:

c 60% on edg