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Sequence

If a, b, c ar...

Question

If a, b, c are in A.P., then (b+c)²-a², (a+c)² -b², (a+b)² -c² are in....

A

A.P.

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B

G.P.

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C

A.G.P.

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D

H.P.

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Solution

The correct option is A
A.P.

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Similar questions

a, b, c

A . P .

a^{2}, b^{2}, c^{2}

H . P,

b^{2}, a^{2}, c^{2}

are in A.P. then

a + c, b + c, c + a

a^{2}, b^{2}, c^{2}

are in A.P then

\frac{1}{b + c}, \frac{1}{c + a}, \frac{1}{a + b}

a^{2}, b^{2}, c^{2}

are in A.P., then

cot A, cot B, cot C

If a, b, c, d are in G.p., prove that :

(i) $(a^{2} + b^{2}), (b^{2} + c^{2}), (c^{2} + d)^{2}$ are in G.P.

(ii) $(a^{2} - b^{2}), (b^{2} - c^{2}), (c^{2} - d)^{2}$ are in G.P.

(iii) $\frac{1}{a^{2} + b^{2}}, \frac{1}{b^{2} + c^{2}}, \frac{1}{c^{2} + d^{2}}$ are in G.P.

(iv) $(a^{2} + b^{2} + c^{2}), (a b + b c + c d), (b^{2} + c^{2} + d^{2})$

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