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Ksivusya [100]
3 years ago
10

A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​

Mathematics
1 answer:
gayaneshka [121]3 years ago
5 0

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

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wel

Anwers:

1. line A

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Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

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The graph of this function is stretched vertically => line A

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The graph of this function is stretched vertically and is reflected through the x-asix => line D.

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The graph of this function is compressed vertically => line B

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The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

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4 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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