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Find the average of the first 20 multiples of 8
78
80
84
82
There are 2 ways to solve this problem. The difference between every term is 8, hence we can say that they are in Arithmetic Progression. First-term = 8, common difference = 8, hence we can find the 20th term using the formula T20 =a+(n-1)d = 8 + (20 - 1)8 = 8 + 19 * 8 = 160 We can find the Average of Arithmetic Progression using the formula, Average = (First Term + Last term) / 2 = (8 + 160) / 2 = 168 / 2 = 84 The other way is to directly find the sum of first 20 terms using the formula Sn = n/2 [2a + (n-1)d] S20 =(20/2)[2*8+(20-1)*8] Therefore the sum of 20 terms = 1680 The average of 20 terms = sum of 20 terms / number of terms = 1680 / 20 = 84
By: Parvesh Mehta ProfileResourcesReport error
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