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Sequences and Series question

2022 · 27 Jun · Shift 1 · Q22
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  5. /2022 · 27 Jun · Shift 1 · Q22

Sequences and Series question

2022 · 27 Jun · Shift 1 · Q22

JEE MainMathematicsSequences and SeriesMCQ+4 / −1
x=∑n=0∞an,y=∑n=0∞bn,z=∑n=0∞cnx = \sum\limits_{n = 0}^\infty {{a^n},y = \sum\limits_{n = 0}^\infty {{b^n},z = \sum\limits_{n = 0}^\infty {{c^n}} } }x=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 eee 0, then :
  1. A
    x, y, z are in A.P.
  2. B
    x, y, z are in G.P.
  3. C
    1x{1 \over x}x1​, 1y{1 \over y}y1​, 1z{1 \over z}z1​ are in A.P.
  4. D
    1x{1 \over x}x1​+1y{1 \over y}y1​+1z{1 \over z}z1​= 1 −-− (a + b + c)
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