### Brain Teasers

# Ancient Patterns

Series
Series teasers are where you try to complete the sequence of a series of letters, numbers or objects.

Twins Sari and Devon have gone to the jungles of South America to explore the lost city of Xaitec with their parents, who are part of a team of archaeologists. The path to the great temple is lined with pairs of stone columns, but the pairs of columns are not evenly spaced. Using a meter tape, the twins measure the distances between successive pairs of columns. Starting from the temple, the distances between pairs of columns are 7.8 m, 7.8 m, 15.6 m, 23.4 m, and 39 m. Since the paved road between the columns continues for some distance, the archaeologists suspect there are more fallen columns hidden in the jungle growth.

Where should the twins tell the archaeologists to look for the next pair of columns?

Where should the twins tell the archaeologists to look for the next pair of columns?

### Hint

Look for a pattern.### Answer

The archaeologists should start looking 62.4 meters from the last pair of columns.0 + 7.8 = 7.8

7.8 + 7.8 = 15.6

7.8 + 15.6 = 23.4

15.6 + 23.4 = 39

Guess what? The Xaitecans were using the equivalent of Fibonacci numbers! The next one in the series should be 23.4 + 39 = 62.4.

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