6x + y = -2
y = -3x + 1
Substitute the value of y in first equation,
6x -3x + 1 = -2
3x = -2-1
x = -3/3
x = -1
Now, Substitute it in 2nd equation,
y = -3(-1) + 1
y = 3+ 1 = 4
Coordinates would be: (-1,4) Mark that point and join with origin.
Hope this helps!
Find the next two terms in the given sequence, then write it in recursive form. A.) {7,12,17,22,27,...} B.) { 3,7,15,31,63,...}
iren [92.7K]
Answer:
A) a_n = 5n + 2
B) a_n = (2^(n + 1)) - 1
Step-by-step explanation:
A) The sequence is given as;
{7,12,17,22,27,...}
The differences are:
5,5,5,5.
This is an arithmetic sequence following the formula;
a_n = a_1 + (n - 1)d
d is 5
Thus;
a_n = a_1 + (n - 1)5
Now, a_1 = 7. Thus;
a_n = 7 + 5n - 5
a_n = 5n + 2
B) The sequence is given as;
{ 3,7,15,31,63,...}
Now, let's write out the differences of this sequence:
Differences are:
4, 8, 16, 32
This shows that it is a geometric sequence with a common ratio of 2.
In the given sequence, a_1 = 3 and a_2 = 7 and a_3 = 15
Thus, a_2 = 2a_1 + 1
Also, a_(2 + 1) = 2a_2 + 1
Combining both equations, we can deduce that: a_(n + 1) = 2a_n + 1
Thus; a_n can be expressed as:
a_n = (2^(n + 1)) - 1
(1) the probability of that happening is .4444.. so on. the jar isnt 25% red balls because 25% of 36 is only 9 and he pulled out 16 red balls.
I dont know number two sorry.
Answer: 28
Step-by-step explanation:
28 is thhe missing number
