Answer:
Step-by-step explanation:
Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is
where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then
a1 = 2 and r = 3. Therefore, the explicit formula is
and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.
Answer:
1. 44 + 3x
2. 2y - 8
3. x - 6
15. 
16. 
17. 
Step-by-step explanation:
1. 7² + 2² - 5 - 4 + 3x
49 + 4 - 5 - 4 + 3x
53 - 5 - 4 + 3x
48 - 4 + 3x
44 + 3x
2. - y - 5 + y + 2(2y-y) - 3
-y - 5 + y + 4y - 2y -3
-y - 5 + 5y - 2y - 3
4y - 2y - 5 - 3
2y - 8
3. 5x -3 - x - 3(x + 1²)
5x - 3 - x - 3x - 3
4x - 3x - 3 -3
x - 3 -3
x - 6
15. 
= 
= 
= 
→
16. 
= 
= 
= 
→ 
→
17. 
= 
= 
= 
→
Hope this helps.
Answer:
Step-by-step explanation:
Combine like terms
3v + 4v
26=7v+12
Subtract 12 from both sides of the equation
26-12
12-12
14=7v
Simplify
so subtract the 12's
Divide both sides of the equation by the same term
14 divided by 7
7 divided by 7
Simplify
do the division and move the term on the other side and it would be
v=2
Solution
v=2
