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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