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Question: If 'd' is the common difference of an A.P. then-...

If 'd' is the common difference of an A.P. then-

A

d = Sn –Sn–1 + Sn–2

B

d = Sn –2. Sn–1 – Sn–2

C

d = Sn – 2. Sn–1 + Sn–2

D

None of these

Answer

d = Sn – 2. Sn–1 + Sn–2

Explanation

Solution

Sn –2. Sn–1 + Sn–2

= (Sn­ – Sn–1) – (Sn–1 – Sn–2)

= tn – tn–1 = d