Question
Download Solution PDFFor which value of k; the series 2, 3 + k and 6 are in A.P.?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
For a value of k; 2, 3 + k and 6 are to be in A.P
Concept:
According to Arithmetic progression, a2 - a1 = a3 - a2
where a1 ,a2 ,a3 are 1st, 2nd and 3rd term of any A.P.
Calculation:
a1 = 2, a2 = k + 3, a3 = 6 are three consecutive terms of an A.P.
According to Arithmetic progression, a2 - a1 = a3 - a2
(k + 3) – 2 = 6 – (k + 3)
⇒ k + 3 - 8 + k + 3 = 0
⇒ 2k = 2
After solving, we get k = 1
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