Question

© 2018 strongmind. created using geogebra. which statement correctly describes the graphed function (f(x)=-x + 5), with a domain restricted to natural numbers, in terms of an arithmetic sequence? the point ((1,4)) means the 1st term of the sequence is 1. the point ((2,3)) means the 2nd term of the sequence is 2, and so on. the point ((1,4)) means the 4th term of the sequence is 1. the point ((2,3)) means the 3rd term of the sequence is 2, and so on. the point ((1,4)) means the 1st term of the sequence is 4. the point ((2,3)) means the 2nd term of the sequence is 3, and so on. the point ((1,4)) means the 4th term of the sequence is 4. the point ((2,3)) means the 3rd term of the sequence is 3, and so on.

Explanation:

In an arithmetic - sequence represented by a function \(y = f(x)\) with \(x\) being the term number (a natural number), the first coordinate of the point \((x,y)\) is the term number and the second coordinate is the value of the term. For the function \(f(x)=-x + 5\), when \(x = 1\), \(f(1)=-1 + 5=4\), so the first - term of the sequence is 4. When \(x = 2\), \(f(2)=-2 + 5 = 3\), so the second - term of the sequence is 3.

Answer:

The point \((1,4)\) means the 1st term of the sequence is 4. The point \((2,3)\) means the 2nd term of the sequence is 3, and so on.