Answer:
- AP
- tₙ = (n-2)k² + (2n - 3)k + n
Step-by-step explanation:
<u>Given sequence:</u>
- -k² - k + 1, k + 2, k² + 3k + 3, 2k² + 5k + 4, ...
We can see apart from the second term all terms are 2nd degree trinomial so it is not a GP.
Let's find the difference: to determine if it is a AP:
- k + 2 - (-k² - k + 1) = k + 2 + k² + k -1 = k² + 2k + 1
- k² + 3k + 3 - (k + 2) = k² + 3k + 3 - k - 2 = k² + 2k + 1
- 2k² + 5k + 4 - (k² + 3k + 3) = 2k² + 5k + 4 - k² - 3k - 3 = k² + 2k + 1
As we see the difference is common and it confirms the sequence is AP.
<u>First term is </u>
<u>Common difference is </u>
<u>nth term is:</u>
- tₙ = a₁ + (n-1)d
- tₙ = -k² - k + 1 + (n-1)(k² + 2k + 1) =
- -k² - k + 1 + (n-1)k² + (n-1)*2k + n-1 =
- (n-2)k² + (2n - 3)k + n
Answer: The radius is half the diameter and the diameter is double the radius
Step-by-step explanation:
The diameter is a straight line across the center of a circle. It goes from one side to another. The radius is half that, so a line starting from the center that goes to just one side.
4 and 5 are the only constant terms in that expression.
Answer:
18√2
Step-by-step explanation:
2√3 x 3√6
2 x 3 x (√6 x √3)
=> 6√18
=> 6√(3x3x2)
=> 6 x 3√2
=> 18√2
Answer:
7 Hours per day
Step-by-step explanation:
35/5=7
If you are working 35/hrs a week, and you only work 5 days, to find out how many hours you work each day, you need to divide the amount of hours per week and the days per week.
Hence, 35/5=7.