# If where are in A.P. and Option 1) Option 2) Arithmetic­Geometric progression Option 3) Option 4) As we learnt in

Sum of infinite terms of a GP - - wherein first term common ratio

Properties of an A.P. -

If a fixed number is added to (Subtracted from) each term of a given A.P, then the resulting sequence is also an AP.

- wherein

If is an AP

then is also an AP and a, b, c re in A.P x = 1+a+a+...   Y= 1+b+b+...   z=1+c+c+...   Now, since a, b, c are in A.P

so -a, -b, -c are in A.P

so 1-a, 1-b, 1-c, are in A.P

so in A.P

so x, y, z are in H.P

Option 1) this option is correct

Option 2)

Arithmetic­Geometric progression

this option is incorrect

Option 3) this option is incorrect

Option 4) this option is incorrect

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