A 1- a 2- - - is a sequence for which a 1-2- a 2-3 and an-an-1-an-2 for every natural number n - 3-1 - The value of a 2011 isA- 3B- 3 - 2C- 2 - 3D- 2

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Standard XII

Mathematics

Sequence

a 1, a 2, … ....

Question

a₁, a₂, .....is a sequence for which a₁ = 2, a₂ = 3 andfor every natural number n ≥ 3. 1.The value of a₂₀₁₁is

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3/2

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2/3

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Solution

The correct option is D
2

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Similar questions

Q. If

a_{1}, a_{2}, . . . . .

is a sequence for which

a_{1} = 2, a_{2} = 3

and

a_{n} = \frac{a_{n - 1}}{a_{n - 2}}

for every natural number

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. Then the value of

a_{2011}

Q.
Let a₁=a₂=1, a₃= 2 and a_n=a_n-1+a_n-2for n>= 3. If the given sequence is a Fibonacci sequence, then prove using induction that :-
a₁+a₂+......+a_n= a_n+2-1

A sequence $a_{1}, a_{2}, a_{3}, . . . . . . .$ is defined by letting $a_{1} = 3$ and $a_{k} = 7$ $a_{k - 1}$ for all natural numbers $k \geq 2$ . Show that $a_{n} = {3.7}^{n - 1}$ for all $n ϵ N$ .

Q. A sequence of numbers

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. Find

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Q. If

a_{1}, a_{2}, a_{3} \dots, a_{n}

are in AP, where

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for all i, then the value of

\frac{1}{\sqrt{a_{1}} + \sqrt{a_{2}}} + \frac{1}{\sqrt{a_{2}} + \sqrt{a_{3}}} + \dots + \frac{1}{\sqrt{a_{n - 2}} + \sqrt{a_{n}}}

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a1, a2, .....is a sequence for which a1 = 2, a2 = 3 andfor every natural number n ≥ 3. 1.The value of a2011 is

The correct option is D 2

a₁, a₂, .....is a sequence for which a₁ = 2, a₂ = 3 andfor every natural number n ≥ 3. 1.The value of a₂₀₁₁is

The correct option is D
2