cool mat 8

Algebra Level pending

find the next term

5 , 41 , 321 , 1921 , 7681 , 15361, ??

1 3 2 30204

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1 solution

Jai Gupta
Sep 6, 2014

-1 from all

series become like this 4 , 40 , 321, 1920 , 7680 , 15360

4 multiplied by 10 =40+1=41

40 multiplied by 8 =320+1=321

similarly same is applied

15360 multiplied by 0 =0+1=1

@Jai Gupta you should try some more difficult and interesting questions. Posting these MAT series will not help you in getting popular. And your followers will also not increase by this.

Shubhendra Singh - 6 years, 9 months ago

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Ya sure shubhendra

Jai Gupta - 6 years, 9 months ago

But the second term in the (modified) series is 40, not 41.

Calvin Lin Staff - 6 years, 9 months ago

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Seeee What i had done is

Subtract -1 from allll

Then new series is 4 ,40, And so on

Then pattern you can see above

Before i had done -1 Thats why i had done +1

Calvin if dont understand this tell me ill delete this problem as it is becoming contoversial

Jai Gupta - 6 years, 9 months ago

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Yes, I understand that you "subtract 1 from all". This gives us the sequence:

4 , 40 , 321 , 1920 , 7680 , 15360 4 , 40 , 321, 1920 , 7680 , 15360

Can you explain (again) what the rule is to get this sequence?

It seems to me that you want a i + 1 = a i × ( 12 2 i ) + 1 a_{i+1} = a_i \times (12 - 2i ) + 1 , but this will give a 2 = 4 × 10 + 1 = 41 a_2 = 4 \times 10 + 1 = 41 instead of 41.

I'm guessing that your original sequence should have been

5 , 42 , 321 , 1921 , 7681 , 15361 5, \color{#D61F06}{42}, 321, 1921, 7681, 15361

Calvin Lin Staff - 6 years, 9 months ago

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@Calvin Lin Calvin your series is wrong in place of 321 there should be 320 in your first series And yahh satvik will talk about this problem I call him and told about this

Jai Gupta - 6 years, 9 months ago

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@Jai Gupta Ah, I see the reason for my confusion.

In your solution, can you change "321" to "320"? Also, in your explanation, remove the "+1" part of it. You are describing the 2nd series, and not the first series.

Calvin Lin Staff - 6 years, 9 months ago

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@Calvin Lin Have you understand now really and ahh this question has not been rated yet

Jai Gupta - 6 years, 8 months ago

@Jai Gupta I do not see any reply to my comment. Please let me know how to proceed.

Calvin Lin Staff - 6 years, 9 months ago

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In which question calvin In this one or in another please let me know

Jai Gupta - 6 years, 9 months ago

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To my comment below in this solution, which states "But the second term in the (modified) series is 40, not 41"

Calvin Lin Staff - 6 years, 9 months ago

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