Question 1: If , prove that:
Answer:
Hence proved.
Answer:
Question 3: If , then show that:
are also in A.P.
Answer:
Hence proved.
Hence proved.
Answer:
ii) From i) since
Question 5: If , then prove that:
Answer:
Answer:
we get
Question 7: Show that and
are consecutive terms of an A.P., if
Answer:
.
and
are consecutive terms of an A.P.