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CBSE Class 11-science Answered

Insert 6 numbers between – 6 and 29 such that the resulting sequence is an A.P.
Asked by Topperlearning User | 22 Nov, 2017, 10:04: AM
answered-by-expert Expert Answer

Let A1, A2, A3, …, A6  be 6 arithmetic means between – 6 and 29 and common difference be d.

Total number of terms = 6 + 2 = 8
 
begin mathsize 12px style 8 to the power of th space term space of space an space straight A. straight P. space equals space 29 minus 6 plus 7 straight d equals 29 7 straight d equals 35 straight d equals 5 straight A subscript 1 equals negative 6 plus 5 equals negative 1 straight A subscript 2 equals negative 1 plus 5 equals 4 straight A subscript 3 equals 4 plus 5 equals 9 straight A subscript 4 equals 9 plus 5 equals 14 straight A subscript 5 equals 14 plus 5 equals 19 straight A subscript 6 equals 19 plus 5 equals 24 end style
Thus, the A.P. is – 6, – 1, 4, 9, 14, 19, 24, 29.
Answered by | 22 Nov, 2017, 12:04: PM

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