Mosaic Relation

Probability Level 1

What relationship describes the number of mosaic squares in each image compared to the number of squares in the previous image?

x × 7 x \times 7 3 × ( x + 7 ) 3 \times (x + 7) x + 42 x + 42 ( x × 3 ) − 28 ( x \times 3) - 28

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Zandra Vinegar by Zandra Vinegar

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4 solutions

Wasn't this exact question in the previous quiz? I wasn't sure if I understood the problem because I found that weird.

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Kay Xspre
Aug 12, 2015

By observing the arrangement of each mosaic, the first one contains 7 pieces of small mosaic, then the scond one is an arrangement of 7 pieces of first one, the third one is an arrangement of 7 pieces of the second one, and so forth...

This would lead us to the conclusion that the number of small mosaic in each picture is an exponential of 7, namely 7 , 7 × 7 , 7 × 7 × 7 , … , 7 n 7, 7 \times 7, 7 \times 7 \times 7, \dots, 7^{n} where n n is the amount of times this recursive action happened

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Mahabubul Islam
May 6, 2017

X n = 7. X n − 1 X_{n} = 7 . X_{n-1}

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I had the right answer but i found it uncl earlier as to what was exactly x.

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