Logical sequence, take your own time.

Algebra Level 3

What number is, logically, missing from the sequence below ? 348269 , 284315 , , 8438 , 4811 , 842 , 86 \boxed{348269, \quad 284315, \quad *****, \quad 8438, \quad 4811, \quad 842, \quad 86 \quad}


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The answer is 34826.

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7 solutions

Chew-Seong Cheong
Mar 26, 2015

The operations of each step involve:

  • flipping the first single and pair or two pairs of digits
  • flipping the flipped single and pair or two pairs of digits
  • adding the last pair of digits

See below:

34 82 69 28 43 15 34 8 2 6 8 4 3 8 4 8 11 8 4 2 8 6 \LARGE \color{#D61F06}{\overrightarrow {34}} \space \color{#3D99F6} {\overrightarrow {82}} \space \color{#20A900} {\overline {69}} \\ \LARGE \color{#3D99F6} {\overleftarrow {28}} \space \color{#D61F06}{\overleftarrow {43}} \space \color{#20A900} {\overline {15}} \\ \LARGE \boxed {\color{#D61F06}{\overrightarrow {34}} \space \overrightarrow {\color{#3D99F6}{8} \color{#20A900}{2}} \space \color{#20A900} {\overline {6}}} \\ \LARGE \color{#3D99F6}{\overleftarrow {8}} \space \overleftarrow {\color{#D61F06}{4} \color{#20A900}{3}} \space \color{#20A900} {\overline {8}} \\ \LARGE \color{#D61F06}{\overrightarrow {4}} \space \overrightarrow {\color{#3D99F6}{8}} \space \color{#20A900} {\overline {11}} \\ \LARGE \color{#3D99F6}{\overleftarrow {8}} \space \overleftarrow {\color{#20A900}{4}} \space \color{#20A900} {\overline {2}} \\ \LARGE \color{#3D99F6}{\overrightarrow {8}} \space \color{#20A900} {\overline {6}}

You are complicating it too much:

In each step:

  • add the last pair of digits
  • reverse the rest of the sequence

Juan Pequeño Principe - 6 years, 1 month ago

OH GOD.. I was very close...

Rishabh Tripathi - 6 years, 2 months ago

In the above sequence the digits in the number except the last two digits the order is reversed( Like digits 3482 of n.o 348269 is reversed and written as 2843) while the last two digits (which are here 69) are added (9+6=15) and the number formed is placed at the right end of the digit previously formed (284315) to obtain the next number . Applying above logic the missing number is

3482(1+5)=34826

Uahbid Dey
Mar 27, 2015

too good dude!!!

abhideep singh - 6 years, 2 months ago
Saya Suka
Apr 13, 2021

1) separate the last 2 digits
2) reverse the rest of the digits
3) calculate the sum of the separated digits and return the sum as the last digit(s) of the reversed number.

2843 // 15
==> 3482 // 1+5
==> 34826

Lucas Spencers
May 11, 2015

Enjoyed this one. Yumm!

Here's what I did (No Solution, just hint) ;)

-> Notice that every next number in series ends with a specific sum of last one.

-> Notice the numbers that repeat in the every number.

-> Think!

Jonathan Crowell
Apr 30, 2015

Use the previous number: 284315, to find the next number in the series.

  1. Add the last pair of digits: 15 -> 6
  2. Then reverse the rest of the number: 2843 -> 3482
  3. Final add the two numbers together: 3482 & 15 -> 348215

The answer is 348215

Jitendra Sharma
Apr 2, 2015

Nice one :)

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