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India
Class XI

Fibonacci Sequence

Interactive practice questions

Consider the following sequence.

$1,2,4,6,8,10,\text{. . .}$1,2,4,6,8,10,. . .

Is the sequence a Fibonacci-type sequence (where each term is the sum of the two preceding terms)?

Yes

A

No

B
Easy
< 1min

Consider the following sequence.

$2,-1,1,0,1,1,\text{. . .}$2,1,1,0,1,1,. . .

Easy
< 1min

Consider the following sequence.

$\pi,\pi,2\pi,3\pi,5\pi,8\pi,\text{. . .}$π,π,2π,3π,5π,8π,. . .

Easy
< 1min

Use the fact that the Fibonacci sequence is defined by $t_n=t_{n-2}+t_{n-1}$tn=tn2+tn1, where $t_1=1$t1=1 and $t_2=1$t2=1, to generate terms $3$3 to $8$8.

Write all the values on the same line, separated by commas.

Easy
1min
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Outcomes

11.A.SS.1

Sequence and Series. Arithmetic progression (A. P.), arithmetic mean (A.M.). Geometric progression (G.P.), general term of a G. P., sum of n terms of a G.P., geometric mean (G.M.), relation between A.M. and G.M. Sum to n terms of the special series, involving n, n^2, n^3 (see syllabus)

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