1003085005 | math4u.vsb.cz

SubArea:

Introduction to sequences

Level:

Project ID:

1003085005

Accepted:

1

Clonable:

0

Easy:

0

A sequence

{(a_{n})}_{n = 1}^{\infty}

is defined by the recursive formula

a_{1} = 1; a_{n + 1} = \frac{1}{1 + a_{n}}, n \in N

. What are its first five terms?

1

,

\frac{1}{2}

,

\frac{2}{3}

,

\frac{3}{5}

,

\frac{5}{8}

1

,

\frac{1}{2}

,

\frac{2}{3}

,

\frac{3}{4}

,

\frac{5}{8}

1

,

2

,

\frac{3}{2}

,

\frac{5}{3}

,

\frac{8}{5}

1

,

\frac{1}{2}

,

\frac{3}{2}

,

\frac{3}{5}

,

\frac{8}{5}