Three consecutive terms of a progression are 30, 24, 20. The next term of the progression is
A.
$$18$$
B.
$$17\frac{1}{7}$$
C.
$$16$$
D.
none of these
Answer :
$$17\frac{1}{7}$$
Solution :
$$\frac{1}{{24}} - \frac{1}{{30}} = \frac{1}{{20}} - \frac{1}{{24}}$$ and so in H.P.
Releted MCQ Question on Algebra >> Sequences and Series
Releted Question 1
If $$x, y$$ and $$z$$ are $${p^{{\text{th}}}},{q^{{\text{th}}}}\,{\text{and }}{r^{{\text{th}}}}$$ terms respectively of an A.P. and also of a G.P., then $${x^{y - z}}{y^{z - x}}{z^{x - y}}$$ is equal to:
If $$a, b, c$$ are in G.P., then the equations $$a{x^2} + 2bx + c = 0$$ and $$d{x^2} + 2ex + f = 0$$ have a common root if $$\frac{d}{a},\frac{e}{b},\frac{f}{c}$$ are in-