Each term at an even place in the series is the product of its two adjacent terms. Thus, if the missing term be x, then we have : 7 × x = 56 or x = 56 ÷ 7 = 8
Let the missing terms of the series be x1 and x2. Thus, the sequence 20, 20, 19, 16, 17, 13, 14, 11. x1, x2 is a combination of two series: I. 20, 19, 17, 14, x1 and II. 20, 16, 13, 11, x2 The pattern in I is - 1, - 2, - 3,..............So, missing term, x1= 14 - 4 = 10 The pattern in II is - 4, - 3, - 2,.......... So,missing term, x2 = 11 - 1 = 10
The given sequence is a combination of two series: I. 45, 47, 49, 51, 53 and II. 54, ?, 56, 57 Clearly, II. consists of consecutive natural numbers, starting from 54. so, missing term = 55.
Let the missing terms of the series be x1 and x2. Thus, the sequence 2, 15, 4, 12, 6, 7, x1, x2 is a combination of two series: I. 2, 4, 6, x1 and II. 15, 12, 7, x2 I consists of consecutive even numbers. So, missing term, x1= 8 The pattern in II is - 3, - 5, ........So, missing term x2 = 7 - 7 = 0
Clearly, 5 × 2 = 10, 10 × 2 =20, 20 × 2 = 40,............................. So, the series is G.P. in which a = 5 and r = 2. Let 1280 be the nth term of the series. Then, 5 × 2n - 1= 1280 ⇔2n - 1= 256 = 28 ⇔ n - 1 = 8 ⇔ n = 9
The given sequence is a combination of two series: I. 0, 3, 8, 15, 24, ? and II. 2, 5, 10, 17, 26 The pattern in each one of I and II is + 3, + 5, + 7, + 9,.............. So, missing term = 24 + 11 = 35
The given series is a triangular pattern series. So, we have 3 10 29 66 127 ? 7 19 37 61 12 18 24 6 6 So, missing term = 127 + (61 + 24 + 6) = 127 + 91 = 218
The term of the given series are numbers formed by joining together consecutive odd numbers in order i.e., 1 and 3, 3 and 5, 5 and 7, 7 and 9, 9 and 11................... So, missing term = number formed by joining 11 and 13 = 1113
The sequence in the numerators is + 2, + 3, + 4, + 5 and that in the denominators is + 4, + 6, + 8, + 10 So, the numerator of the missing fraction should be (4 + 3)i.e., 7 and the denominator should be (7 + 6)i.e., 13. Thus, the missing term is 7/13 .