Directions: Find the wrong term in the following number series: 970, 470, 238, 100, 41, 13.5, 1.75

The pattern of the series involves dividing each term by 2 and then subtracting a decreasing multiple of 10. The calculations should be 970 divided by 2 minus 10 is 475; 475 divided by 2 minus 20 is 217.5; 217.5 divided by 2 minus 30 is 78.75; 78.75 divided by 2 minus 40 is minus 0.625. Because this path contradicts the provided right side of the series, let us look at the intended multiplier pattern starting from the right. Multiplying 1.75 by 2 and adding 10 gives 13.5, and multiplying 13.5 by 2 and adding 14 gives 41. Continuing forward, multiplying 41 by 2 and adding 18 gives 100. Following this, multiplying 100 by 2 and adding 22 gives 222, so 238 is the wrong term. Multiplying 222 by 2 and adding 26 gives 470. The result is that the wrong number is 238.

• Thanks
• Wrong explanation