x=\sum_{n=0}^{\infty} a^n, y=\sum_{n=0}^{\infty} b^n, z=\sum_{n=0}^{\infty} c^n, where a, b, c are in A.P. and | {\a}|< 1,| {\b}|< 1,| {\c}|< 1, abc \neq 0, then : [27-Jun-2022-Shift-1]

Correct Answer is : 1x,1y,1z are in A.P.

\frac{1}{x}, \frac{1}{y}, \frac{1}{z} are in A.P.

\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1-(a+b+c)

Sequences and Series Part 2

Section: Mathematics

Question : 54 of 100

Marks: +1, -0

∞

∑

n=0

an,y=

∞

∑

n=0

bn,z=

∞

∑

n=0

cn, where a, b, c are in A.P. and |a|<1,|b|<1,|c|<1, abc ≠0, then :

[27-Jun-2022-Shift-1]

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