Given expression is 35, 36, 37, 38...
First term a = 35
Common difference d = 36-35 = 1
Nth term of arithmetic sequence is:
To find the 100th term, substitute n = 100
Correct option is B
an = a1r^(n-1)
a5 = a1 r^(5-1)
-6 =a1 r^4
a2 = a1 r^(2-1)
-48 = a1 r
divide
-6 =a1 r^4
---------------- yields 1/8 = r^3 take the cube root or each side
-48 = a1 r 1/2 = r
an = a1r^(n-1)
an = a1 (1/2)^ (n-1)
-48 = a1 (1/2) ^1
divide by 1/2
-96 = a1
an = -96 (1/2)^ (n-1)
the sum
Sn = a1[(r^n - 1/(r - 1)]
S18 = -96 [( (1/2) ^17 -1/ (1/2 -1)]
=-96 [ (1/2) ^ 17 -1 /-1/2]
= 192 * [-131071/131072]
approximately -192
Answer:
Y-intercept is (0, -13)
X-intercept is at (13/5, 0)
Step-by-step explanation:
When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).
So the y-intercept is (0, -13)
To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.
To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.
0 = 5x - 13
13 = 5x
x = 13/5
The x-intercept is at (13/5, 0)
I hope this helped!
Answer:
3p - 15
Step-by-step explanation:
5p - 2p = 3p
-5 - 10 = -15
3p + - 15 = 3p - 15
