Question
The average of 8 numbers is 12. If the 2 is added in 1st
number, 4 is added in 2nd number, 8 is added in 3rd number and in the same way the number are added in each number. Find the new average?Solution
Average of 8 numbers = 12 Sum of 8 numbers = 12 × 8 = 96 Now the sum of numbers added, 2, 4, 8, 16 …….. 8 terms Sum of 12 terms S₁₂ = a `xx` (rn-1))/(r-1) = 2 `xx` (28-1))/(2-1) = 2×255 = 510 New average = (96+510)/8 = 75.75
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