The turtle population will be 486 after 5 years.
<u>Step-by-step explanation</u>:
The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.
where,
<u>The formula to find the nth term in GP is :</u>
nth term =
The given sequence 6,18,54.
In this sequence,
5th term =
⇒
⇒ 681
⇒ 486
Therefore, after 5 years the population will be 486.
First of all, x cannot ever equal -1 because if it does then in the original equation you'd be dividing by 0, which is not possible. anything divided by 0 is undefined.
I think the error was in the second step: x(x+1) = 2(x+1) because they didn't need to go from the first step to there. I'm assuming they multiplied both sides of the equation with (x+1) to get rid of the fraction, but since both sides have (x+1) as the denominator the (x+1) would've cancelled out instead of multiplying with the numerator.
Correction:
as u can see, in the second step of this correction, the (x+1)s on both sides cancel out so only the numerators remain.
Hope this helps!
Although, here are no expressions ! it's an incomplete question. So, showing the answer with general simplification .
<u>Step-by-step explanation:</u>
We have the expression as (5.4x10^10) (3.3x10^21) which can be further simplified as :
⇒(5.4x10^10) (3.3x10^21)
⇒
keep the power terms together and numbers to simply. Hence, we get as below
⇒
⇒
By solving the above, we get final simplified answer as
⇒
Although, here are no expressions ! it's an incomplete question . You may match to the listed options wherever!