Pattern Problem

Number Theory Level 2

Find the next number in this sequence:

Use all decimals.

  • 175
  • 192.5
  • 173.25
  • 190.575
  • 171.5175
  • 188.66925
  • _ _ _ ?
169.802 168.947 168.902 170.937

James Hadley by James Hadley , 20, Dominican Repu…

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4 solutions

Showvik Biswas
May 18, 2014

Multiply the first number with 1.1, the next with 0.9, the third with 1.1, the fourth with 0.9 and so on .

3 Helpful 0 Interesting 0 Brilliant 0 Confused

the pattern goes like this..2nd number = 1st number + (or) - 1st no:/10..alternate fashion

Shyam Kumar - 7 years ago

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its the same

Writo Mukherjee - 7 years ago

I SIMPLY PREDICT IT

Bittu Singh - 7 years ago

99% of two no.s before it

Nilanjana Bhadra - 7 years ago
Jack Mamati
Aug 20, 2014

I did it this way. Focus on 1st, 3rd, 5th... terms... then get the 7th term. Just subtract 1/100 of the previous number from the previous number or simply multiply it by 0.99

175*0.99=173.25

173.25*0.99=171.5175

171.5175*0.99=169.802325

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Same pattern is also used for 2nd, 4th, 6th and so forth 192.5*0.99 ....

Jack Mamati - 6 years, 9 months ago
Edwin Gray
Sep 12, 2018

Multiply every other number by .99. Thus 175x.99 = 173,25x.99 = 171.5175x.99= 169.802325. Ed Gray

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Hemant Krishnan
May 19, 2014

I first wrote down all the numbers. Then started finding the difference between each of the numbers. Voila saw that the difference is actually the first number by 10.

Additionally the pattern had an alternating + & -. So the last of the numbers would be 188.66925 - (188.66925/10) = 169.802325

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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