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 2026

MCQ (Single Correct Answer)

-0.25

If $t_n$ denotes the $n^{\text {th }}$ term of an A.P. and $t_p=\frac{1}{q}, t_q=\frac{1}{p}$, then which one of the following options is a root of the equation $(p+2 q-3 r) x^2+(q+2 x-3 p) x+(r+2 p-3 q)=0 ?$

$t_{p q}$

$t_q$

$t_p$

$t_{p+q}$

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