WB JEE 2010 | Sequence and Series Question 13 | Mathematics

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

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

G.M. and H.M. of two numbers are 10 and 8 respectively. The numbers are

5, 20

4, 25

2, 50

1, 100

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The value of n for which $${{{x^{n + 1}} + {y^{n + 1}}} \over {{x^n} + {y^n}}}$$ is the geometric mean of x and y is

$$n = - {1 \over 2}$$

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

n = 1

n = $$-$$ 1

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