Question
Two number series are given below, and both follow the
same pattern. Series I contains a missing term (m + 18). Find the value of the missing term and answer the question that follows. Series I: 72, 83, 116, (m + 18), 248, 347 Series II: (m + 2), n, a, p, q, (3m - 29) Find the value of {(2a - 214) + (p + q - 6³)} ÷ (n - 13)Solution
Series I: 72 + (11 X 1) = 83 83 + (11 X 3) = 116 116 + (11 X 5) = 171 171 + (11 X 7) = 248 248 + (11 X 9) = 347 So, m + 18 = 171 'm' = 171 - 18 = 153 so, (m + 2) = 153 + 2 = 155 Also, (3m - 29) = 3 X 153 - 29 = 430 Series II: 155 + (11 X 1) = 166 = 'n' 166 + (11 X 3) = 199 = 'a' 199 + (11 X 5) = 254 = 'p' 254 + (11 X 7) = 331 = 'q' 331 + (11 X 9) = 430 {(2a - 214) + (p + q - 6³)} ÷ (n - 13) = {(2 X 199 - 214) + (254 + 331 - 216)} ÷ (166 - 13) = {(398 - 214) + 369} ÷ 153 = 553 ÷ 153 = (553/153)
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