an=a1+d(n-1)
a1=first term
d=common difference
n=which term
a1=7
a2=3
a2=3=7+d(2-1)
3=7+d(1)
3=7+d
-4=d
an=7-4(n-1)
expanded
an=7-4n+4
an=11-4n
domain is the numbers you can use for n (1,2,3,4,...)
the range is the output or the numbers you get in the sequence (7,3,-1,-5,...)
for the domain, we have to use numbers like 1,2,3,4,5
no 0
so we use natural numbers, that is the domain
Answer:
x = 7
Step-by-step explanation:
from the properties of an isosceles triangle, 5x+6 = y-9
so
98+2(5x+6) = 180
98+10x+12 = 180
110+10x = 180
10x = 70
x = 7
Answer:
Step-by-step explanation:
Answer:
It is proved that if is even the n is even.
Step-by-step explanation:
Given n is any integer.
To show is even then n is even.
Proving by contrapositive suppose is odd. Then we need to show n is odd.
Then, letting k is a ny integer,
Now since (2k+1) is odd therefore n is odd.
Conversly let n is odd, then,
since 2k+1 is odd so is odd.
This proves, if n is even then is even.