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Andrei [34K]
3 years ago
13

What is the explicit rule for the sequence? −182,−175,−168,−161,...

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
7 0

an = 7n − 189

Hope this helps :)

UNO [17]3 years ago
4 0

Answer:

a_n = 7n - 189

Step-by-step explanation:

The given sequence is -182, -175, -168, -161, ...

It is an arithmetic sequence, because the difference between the successive term is the same constant.

d = -175 - (-182) = -175 +182 = 7

d = -168 - (-175) = -168 + 175 = 7

So the difference (d) = 7

The first term is a_1 = -182

The explicit formula of an arithmetic sequence is a_n = a_1 + (n -1)d

Now plug in a_1 = -182 and d = 7

a_n = -182 + (n-1)7

a_n = -182 + 7n - 7

Simplify the like terms

a_n = 7n - 189

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Given that Blue points, blue line segments, red points, and red line segments arranged on a Cartesian coordinate plane. Here are the blue points and their coordinates. Point A: (negative nine, 3). Point B: (negative 11, 3). Point C: (negative 10, 3). Point D: (negative 10, 5). Point F: (negative 10, 4). Point E: (negative 11, 4). Here are the red points and their coordinates. Point A-1: (negative 1, 6). Point A-2: (negative 3, 4). Point B-1: (negative 2, 4). Point B-2: (negative 5, 4). Point C-2: (negative 3, 3). Point D-1: (negative 5, 5). Point D-2: (negative 5, 3). Point E-1: (negative 6, 6). Point F-1: (negative 5, 6). A semicircle that lies below its line of symmetry AB. A semicircle that lies above its line of symmetry B-2 A-2. A triangle DEF. A triangle D-1 E-1 F-1. Line segments are drawn from C to D, from A-1 to B-1, from A-2 to B-2, and from C-2 to D-2. Triangle DEF, segment CD, and the semicircle with line of symmetry BA are arranged so that they look like a boat.

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2 years ago
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Step-by-step explanation:

The process to arrive to the solution is explained in the pictures below.

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