Sequence of Symbols

Probability Level 3

What are the second and third symbols in the 15th term of the sequence below?

0 + − 0 \huge{0+-0}

0 + − + \huge{0+-+}

0 + 0 − \huge{0+0-}

0 + 00 \huge{0+00}

0 + 0 + \huge{0+0+}

− − -- 0 − 0- + − +- 0 + 0+ + 0 +0 + + ++ − 0 -0 − + -+

Marta Reece by Marta Reece , 69, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Marta Reece
Jul 1, 2018

The terms of the sequence are numbers in base 3 with digits +1, abbreviated + , zero, and -1, abbreviated -.

The first five terms of the sequence translated into base 10 are 6, 7, 8, 9, 10.

The 15th term is 20, which in base 3 with positive and negative digits is + − + − +-+- , so the second and third symbols are − + \boxed{-+} .

1 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...