‘X’ is the nth term of the given series and ‘Y’ is the (n + 1)th term of the…
2020
‘X’ is the nth term of the given series and ‘Y’ is the (n + 1)th term of the given series. Choose the correct statement from the following statements (i), (ii) & (iii). 701, 349, 173, 85, 41, 19, 8, 2.5
(i) X = 2Y + 3
(ii) Y = 3X + 2
(iii) Difference between 1st and 2nd term is twice of the difference between 2nd and 3rd term and so on.
Answer: A. Only (i) and (iii) — Check adjacent terms of the series: 701, 349, 173, 85, 41, 19, 8, 2.5. For each adjacent pair, the earlier term equals 2 times the later term plus 3, so X =…
- A.
Only (i) and (iii)
- B.
Only (i) and (ii)
- C.
Only (ii) and (iii)
- D.
Only (i)
- E.
All (i), (ii) & (iii)
Attempted by 13 students.
Show answer & explanation
Correct answer: A
Check adjacent terms of the series: 701, 349, 173, 85, 41, 19, 8, 2.5.
For each adjacent pair, the earlier term equals 2 times the later term plus 3, so X = 2Y + 3 is true.
The reverse statement Y = 3X + 2 is not true for the adjacent terms.
The differences 352, 176, 88, 44, 22, 11, and 5.5 are successively halved, so statement (iii) is also true.