To state: The pattern, the next term, nth rule for the sequence and then graph the first five terms
The resultant term is 35 and rule is
Given information:
The given sequence is
Explanation:
A sequence is a function whose domain is a set of consecutive integers. If a domain is not specified, it is understood that domain starts with 1.
Now consider the given sequence,
The given terms can be written as:
The next term is:
The first term is 3, the second term is 8, the third term is 15, the fourth term is 24, and the fifth term is 35.
These terms can be written as:
A rule for the nth term is
Now to draw the graph by plotting these points on the graph:
Therefore, the next term of the given sequence is 35 and the pattern it shows is
Chapter 7 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
- Safari File Edit View History Bookmarks Window Help Ο Ω OV O mA 0 mW ర Fri Apr 4 1 222 tv A F9 F10 DII 4 F6 F7 F8 7 29 8 00 W E R T Y U S D பட 9 O G H J K E F11 + 11 F12 O P } [arrow_forwardSo confused. Step by step instructions pleasearrow_forwardIn simplest terms, Sketch the graph of the parabola. Then, determine its equation. opens downward, vertex is (- 4, 7), passes through point (0, - 39)arrow_forward
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- Write each relation in standard form a)y = 5(x + 10)2 + 7 b)y = 9(x - 8)2 - 4arrow_forwardIn simplest form and step by step Write the quadratic relation in standard form, then fi nd the zeros. y = 3(x - 1)2 - 147arrow_forwardStep by step instructions The path of a soccer ball can be modelled by the relation h = - 0.1 d 2 + 0.5 d + 0.6, where h is the ball’s height and d is the horizontal distance from the kicker. a) Find the zeros of the relation.arrow_forward
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