Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
This is history but here you go:
-closed Boston harbor
-banned town meetings
-people forced to quarter soldiers in homes
Answer:
The answer would be the bottom one (please give branliest)
15c = 183.75
Step-by-step explanation:
The individual cost per ice skating lesson can be found by dividing the total by the amount she got
183.75 / 15 = 12.25
The second one is correct because c = 12.25 and 15 X 12.25 = 183.75
The first one is wrong because 12.25 / 15 is not 183.75
then divide 448 by 2335 B + 10
Answer:
Step-by-step explanation:
given
the given height is 1031 ft, thus,
now solving for t,
t~8.027 seconds
