The geometric rule for the nth term of the geometric sequence for which a1 =−6 and a5=−486 is -6 × 3^(n - 1)
<h3>The nth term of a geometric sequence</h3>
First term, a1 = -6
Fifth term, a5 = -486
a5 = ar^(n - 1)
-486 = -6 × r^(5-1)
-486 = -6r⁴
r⁴ = -486 / 6
r⁴ = 81
r = 4√81
r = 3
Geometric rule:
nth term = ar^(n-1)
nth term = -6 × 3^(n - 1)
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Come now ! I'm sure you could unravel it if you look at it and think about it
for a minute or two.
What's an angle bisector ? It's a line that splits an angle exactly in half.
The two little angles on each side of it are EQUAL. Each of them is exactly
half of the big angle.
So in this drawing, (3/2 x - 6) is equal to (1/4 x + 4) .
Do you think you could find 'x' ?
3/2 x - 6 = 1/4 x + 4
Add 6 to each side of the equation: 3/2 x = 1/4 x + 10
Multiply each side by 4 : 6 x = x + 40
Subtract 'x' from each side: 5 x = 40
Divide each side by 5 : x = 8
Angle CBD is 1/4 x + 4 . That's 1/4 (8) + 4 = 2 + 4 = <u>6 degrees </u>
Answer:
54 degrees.
Step-by-step explanation:
All triangles equal 180 degrees. So, 180 minus 104 minus 22 equals 54. Since you can add 54, 104, and 22 together to get 180, that means that is the correct answer.
Answer:
1. 8x+9
2. 3x + 11
3. 9x + 8
4. 11x+9
5. 6x
6. 10x+ 8
7. 7x+7
Step-by-step explanation:
Answer:
106
Step-by-step explanation: