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Sunday, August 20 2017 @ 09:47 PM CDT
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By: sundarshoba (offline)  Saturday, April 25 2015 @ 04:20 AM CDT (Read 1323 times)  
sundarshoba

Please assist to solve Q14 of the attachment, Thanks

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By: echeewh (offline)  Saturday, April 25 2015 @ 02:34 PM CDT  
echeewh

Hey <sundarshoba>,

Refer to attached question

Following is my worked solution:

Q14.

Number of small squares is the sum of (n + 1) consecutive numbers from 1, where n is the pattern number.

(a)
Pattern 4 = sum of 5 consecutive numbers from 1,

1 + 2 + 3 + 4 + 5 = 15

(b)
Pattern 99 = sum of 100 consecutive numbers from 1,

1 + 2 + 3 + . . . + 98 + 99 + 100

= (100 × 101) ÷ 2 = 5050

(Note: can also use <number pairing> method to give the same answer)

======

Trust this helps.

Do let me know again if there's further clarification.

Cheers,
Edward

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