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

step-by-step explanation:

just plug in each number for x and see which ones work and don't