Be observing the table, we can write the following conjecture:
When adding consecutive even numbers, starting from 2 to

.
Then the sum is equal to:

Then, the sum of the first 15 positive even numbers (which is the sum of 2 to 30) can be calculated with the previous conjecture by setting

:
The answer is 240.
Lim ln([(x+1)/x]^3x) as x ->.infinity =lim ln([(x+1)^(3x)]/[x^(3x)]) as s->infinity =lim ln((x+1)^(3x))-ln(x^(3x)) = infinity - infinity
your answer is e3 but you can use l'hopital if you liketake the log, get 3xln(1+1/x)which is in the form ∞×0 then use the usual trick of rewriting as ln(1+1/x)/1/3x
I’m pretty sure the answer is B.
Answer:
The unit rate is 32/25 Walls per gallons.
Step-by-step explanation:
Gallons of paint used by Martin = 5/8 gallons
Portion of wall Martin wants to paint in pints = 4/5 wall.
Rate at which Martin paints the wall: Rate = Portion of wall covered/Paints Used.
Rate = 4/5 Gallons/5/8 Gallons = 32/25 Wall Gallons.