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masha68 [24]
3 years ago
15

In an A.P,the sum of first ten terms is -150 and the sum of next 10 terms is -550.Find the A.P

Mathematics
1 answer:
bija089 [108]3 years ago
4 0
S10 = -150;
<span> the sum of next 10 terms = S20 - S10 => -550 = S20  + 150 => S20 = -700;
</span>S10 = -150 => 2a1 + 9r = -30;
 S20 = -700 => 2a1 + 19r = -70;
Then 10r = -40 => r = -4 , and, 2a1 -36 = -30 => 2a1 = 6 => a1 = 3;
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Answer:

A Pipe that is 120 cm long resonates to produce sound of wavelengths 480 cm, 160 cm and 96 cm but does not resonate at any wavelengths longer than these. This pipe is:

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D. we cannot tell because we do not know the frequency of the sound.

The right choice is:

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Step-by-step explanation:

Given:

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Its wavelength \lambda_1 = 480 cm

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We have to find whether the pipe is open,closed or open-closed or none.

Note:

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So,

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It seems that the pipe is open at one end and closed at one end.

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For one side open and one side closed pipe:

An odd-integer number of quarter wavelength have to fit into the tube of length L.

⇒  \lambda_2=\frac{4L}{3}                                   ⇒  \lambda_3=\frac{4L}{5}

⇒ \lambda_2=\frac{4(120)}{3}                              ⇒  \lambda_3=\frac{4(120)}{5}

⇒ \lambda_2=\frac{480}{3}                                  ⇒  \lambda_3=\frac{480}{5}

⇒ \lambda_2=160\ cm                           ⇒   \lambda_3=96\ cm  

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