Answer:
=18975
Step-by-step explanation:
This is an arithmetic sequence
an = a1 +d(n-1)
a1 =9
d = 12-9 = 3
an = 9 +3 (n-1)
The sum of an arithmetic sequence is given by
Sn = n/2 (a1+an)
So we need to determine what number in the sequence 336 is
an = 9 +3 (n-1)
336 = 9 +3(n-1)
Subtract 9 from each side
336-9 =9+-9 + 3(n-1)
327 = 3(n-1)
Divide each side by 3
327/3 =3/3(n-1)
109 = n-1
Add 1 to each side
109+1= n-1+1
110 = n
336 is the 110 term
The sum from 9 to 336
Sn = n/2 (a1+an)
S 110 = 110/2 (9+336)
= 55 (345)
=18975
Answer:
it's 9 I just took this assignment
Answer:
42 Democrats members
12 Republicans members
2 other parties members
Step-by-step explanation:
We know that there are a total number of voters of
- 75 (democrats)+17 (Republicans)+ 4( Other parties)= 96 voters
And we know that the bill has passed with 16 nore votes in favor that against, so let's calculate how many votes in favor of the bill we have:
- 96 Votes = F (votes in Favor)+ A (votes against)
also: F= A+16= A = F-16, so:
- 96= F+A= F+F-16 => F= 56 votes in favor of the bill
Thos 56 votes are the sum of the votes in favor from all the parties:
56 = D (votes in favor of democrats)+R ((votes in favor of Republicans)+OTH (votes in favor of other parties)
=> 56= D+R+OTH (A)
also democrat's votes in favor are three times the sum of non-democrat's votes in favor:
- D= 3*( R+OTH) => OTH= D/3-R
and we have 30 more democrats thar republicans voting in favor:
if we replace in the (A) formula:
56 = D+R+OTH => 56= D+D-30+D/3-D+30 =>
- 56=4/3*D => D=42 (DEMOCRATS VOTES IN FAVOR)
- R= D-30 => R= 12 (REPUBLICAN VOTES IN FAVOR)
- OTH= D/3-R= 14-12= 2 (OTHER PARTIE'S VOTES IN FAVOR)
