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Insert five numbers between 8 and 26 such that the resulting sequence ...

Insert five numbers between 8 and 26 suc | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions

Question:

Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.

Answer:

Let A1, A2, A3, A4, and A5 be five numbers between 8 and 26 such that

8, A1, A2, A3, A4, A5, 26 is an A.P.

Here, a = 8, b = 26, n = 7

Therefore, 26 = 8 + (7 – 1) d

⇒ 6d = 26 – 8 = 18

⇒ d = 3

A1 = a + d = 8 + 3 = 11

A2 = a + 2d = 8 + 2 × 3 = 8 + 6 = 14

A3 = a + 3d = 8 + 3 × 3 = 8 + 9 = 17

A4 = a + 4d = 8 + 4 × 3 = 8 + 12 = 20

A5 = a + 5d = 8 + 5 × 3 = 8 + 15 = 23

Thus, the required five numbers between 8 and 26 are 11, 14, 17, 20, and 23.

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Comments

Ashish Kumar Pathak
2018-12-18 20:17:41

Thank you so much because this solution is given me a hot hint in my mind that help me in solving a lot of problems

Krithik
2018-08-24 19:06:03

Thanks this is very helpful to me Thank u so much

Pawankumar
2018-07-26 15:36:37

Give answer in Hindi

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Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 2 , Question 14: Insert five numbers between 8 and 26 such that the resulting sequence is an A.P.....

Insert five numbers between 8 and 26 suc | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions

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