Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
Answer:
225 units^3
Step-by-step explanation:
15x5x3 = 225
hope this helps, pls mark brainliest :D
Answer:
-> See attached
115.893 meters²
Step-by-step explanation:
See attached for my sketch.
Area for a rectangle is A = L * W:
9.78 meters * 11.85 meters = 115.893 meters²
Answer:
x = 32/3
Step-by-step explanation:
Step 1: Write equation
x/6 = 16/9
Step 2: Solve for <em>x</em>
- Cross multiply: 9x = 96
- Divide both sides by 9: x = 96/9
- Simplify: x = 32/3
Answer:
130
Step-by-step explanation:
Divide 1,040 by 8 which equals 130
