Friday, 1 May 2015

Blog Post # 65 - What is unique about these sequence of numbers?

I just happened to notice this pattern when I saw two cars with registration numbers 2809 and 1521 earlier today. Needless to say both number caught my attention since they were perfect squares and then tried to see if few more numbers exhibit that pattern

Here's the sequence I am looking at

1521, 2025, 2809, 4225, 4900...

It is obvious that they are perfect squares but there is something unique they exhibit apart from that in a sequence

What is the pattern they exhibit and also give me the next 2 or 3 four digit numbers in that sequence?

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1 comment:

  1. Anand11 May 2015 at 07:48

    Here's the answer to this question

    a) 1521 is 39 ^ 2, Remove 5 and resulting number 121 is 11 ^ 2. 39 + 11 = 50
    b) 2025 is 45 ^ 2, Remove 0 and resulting number 225 is 15 ^ 2. 45 + 15 = 60
    c) 2809 is 53 ^ 2, Remove 0 and resulting number 289 is 17 ^ 2. 53 + 17 = 70
    d) 4225 is 65 ^ 2, Remove 4 and resulting number 225 is 15 ^ 2. 65 + 15 = 80
    e) 4900 is 70 ^ 2, Remove 9 and resulting number 400 is 20 ^ 2. 70 + 20 = 90
    The next number in this series is 5776

    f) 5776 is 76 ^ 2, Remove 7 and resulting number 576 is 24 ^ 2. 76 + 24 = 100

    So I guess we can go ahead and figure out the next set of missing numbers :)

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