1 answer:
You might be interested in
Answer:
(A)-494
Step-by-step explanation:
Given the arithmetic series
The terms in the sequence are:
- When k=1, 4-3k=4-3(1)=1
- When k=2, 4-3k=4-3(2)=-2
- When k=3, 4-3k=4-3(3)=-5
Therefore, the terms in the sequence are: 1, -2, -5, ...
First term, a =1
Common difference, d=-2-1=-3
The sum of an arithmetic series,
Therefore:
The correct option is A.
Answer:
Step-by-step explanation:
Vertex form of a quadratic is given by:
Where (h, k) is the vertex and <em>a</em> is the leading coefficient.
We are given that the vertex is (3, 1). Hence, <em>h</em> = 3 and <em>k </em>= 1. By substitution:
We are also given a point (2, -6). This means that when <em>x </em>= 2, <em>f(x)</em> = -6. Hence:
Solve for <em>a</em>. Subtract:
Simplify:
Therefore:
Hence, our quadratic is: