Question
A’ is the nth term of the given series and ‘B’ is
the (n + 1)th term of the given series. Choose the correct statement from the following statements (i), (ii) & (iii). Series: 1402, 698, 346, 170, 82, 38, 16, 5 (i) A = Two times of B + 6 (ii) 6B = Three times of A + √64 3 (iii) Difference between 1st and 2nd term from left side is two times of the difference between 2nd and 3rd term and so on.Solution
In the given series – If we take A = 1402 So, B = 698 Similarly, A = 698 So, 346 = B and so on -----  For (i) 1402 = 2 ×698+6            1402 = 1402 Similarly, 698 = 346 ×2+6  698 = 698 So, if we take any term of given series, then statement (i) following.  For (ii) 6 × 698 = 1402 ×3+4       4188 ≠4210 So, statement (ii) did not follow if we take any term of the given series as ‘A’ & ‘B’  For (iii) (1402 – 698) = 2 ×(698−346)       704 = 2 ×352       704 = 704 So, if we take any term of given series as A and B, then statement (iii) following
3456 1728 2592 6485 22680 102060
...299, 302, 308, 317, ?, 344
2Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 5Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â 10Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â ...
230, 34.5, ‘?’, 0.77625
If 10 9 38 x 5428
Then, 2x² + 1 = ?
...There are two series I and II. Logic in both the series are different.
Series l: 3, 12, 28, 53, 89, .
Series II: 259, 270, 283, 300, 319.<...
12, 6, 6, 9, 18, ?
If   314     306      x      269       394    178    1480
Then, 1/3 x + 2x - x = ?
...5     16     ?      66     119      200
...9999 6666 ? 2962.66 1975.11 1316. 74
...
