Question

If a, b, c are in AP, prove that b + c, c + a, and a + b are also in AP

Answer 1

Answer:

given ,

a, b, c are in ap

to prove that

b + c, c +a, a + b are in ap

→ a , b, c are in ap

so, a -( a + b + c) , b - ( a + b + c) , c - ( a + b + c ) will be in ap

or,

- ( b + c) , - ( a + c) , - ( a + b) will be in ap

now ,

multiply all by ( -1)

then,

b + c , a + c , a + b will be in ap.

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