1003085006 | math4u.vsb.cz

SubArea:

Introduction to sequences

Level:

Project ID:

1003085006

Accepted:

1

Clonable:

0

Easy:

0

A sequence

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

is defined by the recursive formula

a_{1} = 1, a_{2} = 2; a_{n + 2} = \frac{1}{2} (a_{n + 1} + a_{n}), n \in N

. What are its first five terms?

1

,

2

,

\frac{3}{2}

,

\frac{7}{4}

,

\frac{13}{8}

1

,

2

,

\frac{3}{2}

,

\frac{4}{7}

,

\frac{8}{13}

1

,

2

,

3

,

7

,

13

1

,

2

,

\frac{2}{3}

,

\frac{4}{7}

,

\frac{13}{8}