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ale4655 [162]
3 years ago
13

Write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

Mathematics
1 answer:
ra1l [238]3 years ago
6 0

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

<em>Determining the common difference</em>

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

a_n=a_1+\left(n-1\right)d

substituting a₁ = 9, d = 8 in the equation

\:a_n=9+8n-8

a_n=8n+1

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

  • a_n=8n+1
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Step-by-step explanation:

Given : ΔPQR, QM is altitude of the triangle

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Applying Pythagoras Theorem in ΔPQR

PQ^2+QR^2=PR^2

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Applying Pythagoras Theorem in ΔPQM

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Putting values of x^2 and y^2 from [2] and [3 in [1].

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