WB JEE 2009 | Sequence and Series Question 10 | Mathematics

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The coefficient of xⁿ, where n is any positive integer, in the expansion of (1 + 2x + 3x² + ....... $$\infty$$)^1/2 is

$${{n + 1} \over 2}$$

2n + 1

n + 1

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The sum of the infinite series $$1 + {1 \over {2!}} + {{1\,.\,3} \over {4!}} + {{1\,.\,3\,.\,5} \over {6!}} + \,....$$ is

e²

$$\sqrt e$$

1/e

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If sum of an infinite geometric series is $${4 \over {3}}$$ and its 1^st term is $${3 \over {4}}$$, then its common ratio is

$${7 \over {16}}$$

$${9 \over {16}}$$

$${1 \over 9}$$

$${7 \over 9}$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

Sum of n terms of the following series 1³ + 3³ + 5³ + 7³ ......... is

n²(2n² $$-$$ 1)

n³(n $$-$$ 1)

n³ + 8n + 4

2n⁴ + 3n²

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