Which of the following graphs could be a representation of a geometric sequence? check all that apply

Step-by-step explanation:

The formula for a geometric series is aₙ = a₁rⁿ⁻¹.

This is analogous to the exponential series y = a₀rⁿ.

The difference it that, in a geometric series, n must be positive.

Thus, the graph of a geometric series starts somewhere on the y-axis and either increases exponentially or decreases asymptotically to the x axis.

In Graph A , the successive values of y are 5/2⁰, 5/2¹, 5/2² and 5/2³. This is an example of exponential decay.

In Graph B, the successive values of y are 3¹, 3² and 3³. This is an example of exponential growth.

In Graph C, the successive values of y are 2¹, 2², 2³, and 2⁴, another example of exponential growth.

In Graph D, the successive values of y are 1, 2.5, 4, 5.5. and 7. There is a constant difference of 1,5, so this represents an arithmetic series.

could represent a geometric series.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

a natural event such as a flood, earthquake, or hurricane that causes great damage or loss of life.

step-by-step explanation: