The formula
a(n) = 2 - 5(n-1)
is in the form
a(n) = a1 + d(n-1)
where
a1 = first term = 2
d = -5 = common difference
The first term is carried over to the recursive formula. We start with a1 = 2. The next term after that is found by subtracting 5 from the previous term. So
second term = (first term) - 5
third term = (second term) - 5
and so on
The recursive step would be
a(n) = a(n-1)-5
So that's why the answer is choice C
Answer:
144 degrees
Step-by-step explanation:
We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:
(n-2)(180) = ?
(10-2)(180) = ?
(8)(180) = 1440.
Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).
1,440/10 = 144
= <u>144 degrees</u>
We can use the vertex form of a quadratic,

, to find that

. Plugging

ordered pairs into g(x), we see that a = 1. For example, for

,

. Solving for a gives 1.
The answer is #1. Hope this helps
For a number to be a multiple of 6, it must be divisible by 6
and a number divisble by 6 means that it is divisble by 2 and 3
since the ones digit is odd it is not divisble by 2 which means 61 is not a multiple of 6