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Letters for Digits

The value of ...

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The value of common ratio for which three successive terms of a GP are the sides of a triangle is

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Q. The three successive terms of a GP will form the sides of a triangle if the common ratio

r

(r > 1)

Q. If the sides

a, b, c

A B C

form successive terms of G.P. with common ratio

r (> 1)

then which of the following is correct?

a_{1}

a_{2}

a_{3}

a_{1} > 0)

are three successive terms of a G.P. with common ratio r, then find the value of r for which

a_{3} > 4 a_{2} - 3 a_{1}

.

Q. If three successive terms of a G.P with common ratio r (r > 1) form the sides of a triangle ABC and [r] denotes greatest integer function, then modulus of [-r] + [r] is

a_{1}, a_{2}, a_{3}

are three positive consecutive terms of a GP with common ratio

k

. Then all values of

k

for which the inequality

a_{3} > 4 a_{2} - 3 a_{1}

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