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Saturday, September 23 2017 @ 11:32 AM CDT
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By: sundarshoba (offline)  Friday, April 17 2015 @ 10:26 PM CDT (Read 943 times)  
sundarshoba

Please help to solve Q14 of the attachment

Thanks
Sundafr

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By: echeewh (offline)  Saturday, April 18 2015 @ 04:48 AM CDT  
echeewh

Hello <sundarshoba>

Appreciate that you have answer key whenever possible, for verification purpose. Thank you.

Following is my worked solution:

Kindly refer to question in attachment ( if this is not clear).

*** - for alignment purpose

pattern******* 1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 * 10
no.of cubes** 1 * 3 * 6 * 10 (a)
total sticks** 12* 28* 49* 75* (b)

no.of cubes in each pattern = sum of consecutive numbers of the pattern number (from 1).
e.g. pattern 3 = 1 + 2 + 3 = 6

(a)
pattern 5 = 1 + 2 + 3 + 4 + 5 = (5 × 6) ÷ 2 = 15

(b)
total sticks (in pattern 5)
total sticks 12* 28* 49* 75* 106
diff ******** 16* 21* 26* 31* {diff always increased by 5 for each pattern number, and add on to preceding total sticks}

75 + 31 = 106

(c)
pattern 10:
total sticks = 106 + 36 + 41 + 46 + 51 + 56 = 336

======

Trust the above helps.

Do let me know again if this is different from your <Anskey> or if there's further clarification.

Cheers,
Edward

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