The first five terms of the sequence are 1, 4, 7, 10, 13.
Solution:
Given data:


General term of the arithmetic sequence.
, where d is the common difference.
d = 3

Put n = 2 in
, we get



Put n = 3 in
, we get



Put n = 4 in
, we get



Put n = 5 in
, we get



The first five terms of the sequence are 1, 4, 7, 10, 13.
Answer:
A) 12x-36=360 (equation to find x)
B) X=33
C) 71 for 3x-28 and 109 fo 3x+10
Step-by-step explanation:
So first we know tha there are vertical angles present (the opposite side of an angle directly)
And we also know the two sides since the two angle measures are just two different sides
If you add up all the 4 angle syou’ll get 360
So initially
3x-28+3x-28+3x+10+3x+10=360
Combine and get 12x-36=360
Now solve for X
Answer: 5 games
Step-by-step explanation: A .500 record means that the soccer team won half of their games ( that's how I interpret it). Since they are going to play 30 games, they need to win half of 30 or 15 games to have that record. 15-10 = 5. So, they need to win 5 more games to have a .500 record.
Answer:
A. 2.25
Step-by-step explanation:
-3x + 10 = 5x - 8 (Given)
10 = 8x - 8 (Added 3x on both sides)
18 = 8x (Added 8 on both sides)
2.25 = x (Divided 8 on both sides)