WB JEE 2010 | Sequence and Series Question 17 | Mathematics

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WB JEE 2010

MCQ (Single Correct Answer)

-0.25

If angles A, B and C are in A.P., then $${{a + c} \over b}$$ is equal to

$$2\sin \left( {{{A - C} \over 2}} \right)$$

$$2\cos \left( {{{A - C} \over 2}} \right)$$

$$\cos \left( {{{A - C} \over 2}} \right)$$

$$\sin \left( {{{A - C} \over 2}} \right)$$

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The value of $${2 \over {3!}} + {4 \over {5!}} + {6 \over {7!}} + $$ ............ is

e^1/2

e^$$-$$1

e^1/3

WB JEE 2012

MCQ (Single Correct Answer)

-0.33

The value of $$\sum\limits_{r = 2}^\infty {{{1 + 2 + .... + (r - 1)} \over {r!}}} $$

$${e \over 2}$$

$${{3e} \over 2}$$

WB JEE 2024

MCQ (Single Correct Answer)

-0.25

Given an A.P. and a G.P. with positive terms, with the first and second terms of the progressions being equal. If $$a_n$$ and $$b_n$$ be the $$n^{\text {th }}$$ term of A.P. and G.P. respectively then

$$a_n>b_n$$ for all $$n>2$$

$$a_n< b_n$$ for all $$n>2$$

$$a_n=b_n$$ for some $$n>2$$

$$a_n=b_n$$ for some odd $$n$$

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