Question
The average of series 'S6', which consists of 6 consecutive
even numbers, is 27. The second term of series 'T6', which consists of 5 consecutive odd numbers, is 5 more than the first term of series 'S6'. Find the average of series 'T6'.Solution
Let six consecutive even numbers be 'a', (a + 2), (a + 4), (a + 6), (a + 8) and (a + 10), respectively.
ATQ,
a + a + 2 + a + 4 + a + 6 + a + 8 + a + 10 = 27 X 6
Or, 6a = 162 - 30
So, 'a' = (132 / 6) = 22
So, 2nd term of series 'T6' = 22 + 5 = 27
So, series 'T6' = 25, 27, 29, 31, 33
Therefore, required average = (25 + 27 + 29 + 31 + 33) ÷ 5 = 29
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