Q. 12

Determine k so th

Answer :

If x, y and z are in AP, the differences between consecutive terms will be same


y – x = z – y


2y = x + z


As, , k and are the three terms in AP




48k2 = 16k + 15


48k2 – 16k – 15 = 0


48k2 – 36k + 20k – 15 = 0


12k(4k – 3) + 5(4k – 3) = 0


(12k + 5)(4k – 3) = 0


12k + 5 = 0 or 4k – 3 = 0


or


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