Question
The difference between the 7th and
2nd term of an Arithmetical Progression is 20 and its third term is ‘9’. Then find the total number of terms in the series if sum of series is 120.Solution
Given, a + 2d = 9 .................(i) (a+6d) – (a + d) = 20 5d = 20 d = 4 Put the value of ‘d’ in equation (i), we get a + 8 = 9 a = 1 Now, 120 = n/2 (2+(n-1)4) 120 = n/2 (4n-2) On solving, n = 8
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