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Solution for Insert Five Numbers Between 8 and 26 Such that the Resulting Sequence is an A.P. - CBSE (Arts) Class 11 - Mathematics

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Question

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

Solution

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, = 8, = 26, n = 7

Therefore, 26 = 8 + (7 – 1) d

⇒ 6d = 26 – 8 = 18

⇒ = 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 + 4= 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

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 11 (2013 to Current)
Chapter 9: Sequences and Series
Q: 14 | Page no. 185
Solution Insert Five Numbers Between 8 and 26 Such that the Resulting Sequence is an A.P. Concept: Arithmetic Progression (A.P.).
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