The general formula for an arithmetic sequence is:
a(n) = a + d(n - 1)
a : first term
d : common difference (6)
n : number of the term
In your example, you are told the 6th term is 22.
a(6) = a + 6(6 - 1) = 22
a + 30 = 22
a = 22 - 30
a = -8
So now you have the general formula:
a(n) = -8 + 6(n - 1)
If you like you can simplify it:
a(n) = -8 + 6n - 6
a(n) = 6n - 14
Then you can plug in n = 50:
a(50) = 6(50) - 14
= 300 - 14
= 286
The fractions for this would be
1/2+1/10 which would be 3/5 which that in decimal form is .6
Answer:
36
Step-by-step explanation:
180-126=54 Since two angles are supplimentary if they both add up to 180, and 90-54=36 since two angles are complementary if they add up to 90.
Solution:
<u>Note that:</u>
- Given inequality: 3 < x + 3 < 6
<u>Solving the inequality one by one.</u>
- 3 < x + 3
- => -3 + 3 < x
- => 0 < x
- => x + 3 < 6
- => x < 6 - 3
- => x < 3
The inequality is <u>0 < x < 3.</u>
Answer:
16.30
Step-by-step explanation:
16.29(7) seven is more than 5 so you add 1 to the number behind which is 9 so 29+1=30