smithbrandonr76941 smithbrandonr76941
  • 21-12-2023
  • Mathematics
contestada

A series is given witn one wrong term, select the wrong term from the given alternatives 82,164,492,2450,17220? How?

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 21-12-2023

Answer:

  2450

Step-by-step explanation:

You want the wrong term in the sequence 82, 164, 492, 2450, 17220.

Ratios

The ratios of successive terms are ...

  164/82 = 2

  492/164 = 3

  2450/492 ≈ 4.98

  17220/2450 ≈ 7.03

This makes us suspect the ratios should be 2, 3, 5, 7, which are successive prime numbers. This means the number 2450 is too small, and that it should be 492·5 = 2460. That number also satisfies 2460·7 = 17220.

The incorrect term is 2450, which should be 2460.

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