Answer:
The expression for the nth term is Tn = 8n -7
Step-by-step explanation:
Here, we are to find an expression for the nth term of the sequence.
Mathematically, the nth term of an arithmetic sequence can be expressed as;
Tn = a + (n-1)d
for T2, the equation is
a + d = 9
for T4, the equation is
a + 3d = 25
we can substitute the equation of T2 into T4 but we first need to rewrite T4
a + d + 2d = 25
9 + 2d = 25
2d = 25 -9
2d = 16
d = 16/2
d = 8
now since a + d = 9
a = 9-d
a = 9-8
a = 1
So the expression for the nth term would be;
1 + (n-1)8
1 + 8n - 8
= 8n -8+1
= 8n -7
give me for free and il solve it take 20 min for me to solve
Answer:
A
Step-by-step explanation:
I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.
Answer:
y - 6 = 3(x + 2)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: m(slope) = 3, (6, -2)
(x1, y1) = (6, -2)
Input the given values of the slope and the point into the equation for point-slope form:
y - (-2) = 3(x - 6)
y + 2 = 3(x - 6)
The equation written in point-slope form is: y + 2 = 3(x - 6)