Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
The solution would be ... m = <span>√2 - 48 over 16. Have a good day :)</span>
Answer:
LON and MLN are both equal to 126 degrees,
since the angles with the value '4x + 7' and '7x - 35' degrees are equal to each other, you can rewrite it like this:
4x+7=7x-35
now, take the 7x away from both sides:
-3x+7=-35
then, subtract 7 from both sides:
-3x=-42
now, divide both sides by -3:
x=14
now that we know the value of x (14), we can plug it into the expressions.
4(14)+7=63
7(14)=63
add them together to find the angle MLN
and since the opposite angle (LON) is equal to MLN, they both = 126 degrees
hope this helped :)
25% because the first FLIP, it was a fifty-fifty chance. FLIP again and the chances are divided by two since you can only get 2 things, either heads or tails.
Answer:
a(n)=3+(n-1)2
Step-by-step explanation:
a(n)=3+(n-1)2
arithmetic sequence
