Consider a sequence where the nth term t n - n - n -2- n -1-2-3 -The value of t3- t4- t5- t53 equals-A- 2-495 B- z-477C- 12-55D- 1-1485

The correct option is A 2/495Option (a) is the correct answer. Check the video for the approach. ...

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Consider a se...

Question

Consider a sequence where the $n^{t h}$ term
$t_{n} = \frac{n}{(n + 2)},$ n = 1, 2, 3...
The value of $t_{3} \times t_{4} \times t_{5} \times . . . \times t_{53}$ equals:

\frac{2}{495}

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\frac{2}{477}

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\frac{12}{55}

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\frac{1}{1485}

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Solution

The correct option is A $\frac{2}{495}$
Option (a) is the correct answer. Check the video for the approach.

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Similar questions

Q. Consider a sequence where the nth term,

t_{n} = \frac{n}{n + 2}, n = 1, 2.....

The value of

t_{3} \times t_{4} \times t_{5} \times . . . . \times t_{53}

equals

Q. Consider a series whose sum to n-terms is denoted by

S_{n} & n^{t h}

term is

t_{n}

where

S_{n} = n^{3} + 2^{n + 1} \forall n \in N

, then the value of

(t_{5} - t_{3})

is equal to

Q. Let

T_{1} = T_{2} = 1

, where

T_{1}, T_{2}, T_{3}, . . ., T_{n}

is a sequence and

T_{n + 2} = (T_{n + 1})^{- 1} + T_{n}

;

n = 1, 2, 3

,... Find

T_{2019}

Q. Assertion :In an

A . P .

of odd number of terms, let

S_{1}

S_{2}

are such that

S_{1} = t_{1} + t_{2} + t_{3} + . . . + t_{n}

and

S_{2} = t_{1} + t_{3} + t_{5} + . . . + t_{n}

then

\frac{s_{1}}{s_{2}} = \frac{n}{n + 1}

Reason: If

1, 2, 3, . . ., n

be the numbers where

n

is odd then

1, 3, 5, 7 . . . n

will be

\frac{n + 1}{2}

odd numbers &

2, 4, 6 . . . . (n - 1)

will be

\frac{n^{2} - 1}{2}

even numbers.

Q. Let

T_{1}, T_{2}, T_{3}, \dots

be terms of an A.P. If

S_{1} = T_{1} + T_{2} + T_{3} + \dots + T_{n}

and

S_{2} = T_{2} + T_{4} + T_{6} + \dots + T_{n - 1}

, where

n

is odd, then the value of

\frac{S_{1}}{S_{2}}

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Consider a sequence where the nth term tn=n(n+2), n = 1, 2, 3... The value of t3×t4×t5×...×t53 equals:

The correct option is A 2495Option (a) is the correct answer. Check the video for the approach.

Consider a sequence where the $n^{t h}$ term
$t_{n} = \frac{n}{(n + 2)},$ n = 1, 2, 3...
The value of $t_{3} \times t_{4} \times t_{5} \times . . . \times t_{53}$ equals:

The correct option is A $\frac{2}{495}$
Option (a) is the correct answer. Check the video for the approach.