(1) This series consists of terms of an arithmetic sequence:
179 - 173 = 6
173 - 167 = 6
and so on, so that the <em>n</em>-th term in the series is (for <em>n</em> ≥ 1)
<em>a(n)</em> = 179 - 6 (<em>n</em> - 1) = 185 - 6<em>n</em>
Then the sum of the first 53 terms is
(2) This series has terms from a geometric sequence:
-12 / 6 = -2
24/(-12) = -2
-48/24 = -2
and so on. The <em>n</em>-th term is (again, for <em>n</em> ≥ 1)
<em>a(n)</em> = 6 (-2)ⁿ⁻¹
and the sum of the first 19 terms is
Multiply both sides by -2 :
Subtracting this from the first sum gives
and solving for the sum, you get
There would only be 50 odd numbers between 1 and 100 so therefor there would be 50 even so that would only be 50 odd numbers
Answer:
1. 3 examples are: (-3.6,-22), (2.8,10),(4.6,19)
2. (-5,-29) does fall on the line so it is a solution.
Step-by-step explanation: I'm just now learning this, so im sorry if it's wrong:(, i tried!!
Answer:
3 ways.
Step-by-step explanation:
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
2 meats from a set of 3(steak, fish or chicken). So
3 ways.