Is 3584 a term of the series 7+14+28+56.? (please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
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yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

= a₁

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = = = 2 , then

= 7

Equate to 3584 and solve for n

7 = 3584 ( divide both sides by 7 )

= 512 , that is

=

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series

c. 6tan80

step-by-step explanation:

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)