## Arithmetio-geometric progression - Basic

In mathematics, an arithmetico–geometric sequence is the result of the term-by-term multiplication of a geometric progression with the corresponding terms of an arithmetic progression.

Q1.  If |x| is less than 1, then the sum of the series 1 + 2x + 3x2 + 4x3+.........infinity will be

•   1/(1+x)
•  1/(1-x)
•  1/(1+x)2
•   1/(1-x)2

1/(1-x)2

Q2.  The sum of 0.2+0.004 + 0.00006 + 0.0000008+...... to infinity is

•  200/891
•  2000/9801
•  1000/9801
•  None of these

2000/9801

Q3. The nth term of the sequence 1.1, 2.3, 4.5, 8.7,...... will be

•   2n+1(2n+1)
•  2n(2n+1)
•  2n-1(2n-1)
•   2n-1(2n+1)

2n-1(2n-1)

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