So, missing term = 21 + 12 = 33.
term is the prime number after 11, which is 13.
So, missing pattern = 169 - 52 = 169 - 25 = 144.
I. 3, 7, 13, 21, 31, ? and II. 4, 7, 13, 22, 34
The pattern in I is + 4, + 6, + 8, + 10,.....
The pattern in II is + 3, + 6, + 9, + 12,.....
So, missing term = 31 + 12 = 43.
So, missing number = 8 + 15 + 27 = 50.
So, missing term = 15 + (1 + 2 + 3 + 4) = 25.
So, the series is a G.P. in which a = 5 and r = 2.
Let 1280 be the rath term of the series.
Then, 5x2n-1 = 1280 ⟺ 2n-1 = 256 = 28 ⟺ n - 1 = 8 ⟺ n = 9.
So, missing term = 9 + 5 = 14.
So, missing term = 13 x 3 = 39.
So, missing term = 1127 + 8 = 1135.
I. 1st, 4th, 7th, 10th, 13th terms i.e. 2, 4, 6, 8, ?
II. 2nd, 5th, 8th, 11th terms i.e. 1, 4, 7, 10
III. 3rd, 6th, 9th, 12th terms i.e. 2, 5, 8, 11
Clearly, I consists of consecutive even numbers. So, the missing term is 10.
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