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Updated on: 02 Oct 2023, 12:58
Originally posted by Sajjad1994 on 08 Sep 2020, 02:10.
Last edited by BottomJee on 02 Oct 2023, 12:58, edited 2 times in total.
Last edited by BottomJee on 02 Oct 2023, 12:58, edited 2 times in total.
Moved to new forum
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\(m_{4}\): 107
\(m_{6}\): 971
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:37) correct
18%
(01:25)
wrong
based on 233
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In a sequence \(m_{1}, m_{2}, m_{3}\)…….\(m_{n}\), the sequence is given as \(m_{n+1} = 3m_{n}+2\), Provided that integer \(n ≥ 1\) and if \(m_{1}= 3\), select the corresponding values of \(m_{4}\) and \(m_{6}\)?
| \(m_{4}\) | \(m_{6}\) | |
| 11 | ||
| 35 | ||
| 107 | ||
| 323 | ||
| 966 | ||
| 971 |
ShowHide Answer
Official Answer
\(m_{4}\): 107
\(m_{6}\): 971
08 Sep 2020, 02:21
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Given - m1 = 3
m2 = 3m1 + 2 = 9+2= 11
m3=3m2 + 2 = 33+2 = 35
m4 = 3m3+ 2 = 105+2 = 107
m5 = 3m4 + 2 = 321+2 = 323
m6 = 3m5 + 2 = 969 + 2 = 971
==> m4 = 107 & m6 = 971
m2 = 3m1 + 2 = 9+2= 11
m3=3m2 + 2 = 33+2 = 35
m4 = 3m3+ 2 = 105+2 = 107
m5 = 3m4 + 2 = 321+2 = 323
m6 = 3m5 + 2 = 969 + 2 = 971
==> m4 = 107 & m6 = 971
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14 Sep 2020, 08:59
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Given: \(M_{1}\) = 3
\(m_{n+1} = 3m_{n}+2\)
To find : Value of \(M_{4}\) and \(M_{6}\)
Solution: \(m_{n+1} = 3m_{n}+2\)
\(m_{1+1} = 3m_{1}+2\)
\(m_{2} = 3*3+2\)
\(m_{2} = 9+2\)
\(m_{2} = 11\)
\(m_{2+1} = 3m_{2}+2\)
\(m_{3} = 3*11+2\)
\(m_{3} = 33+2\)
\(m_{3} = 35\)
\(m_{3+1} = 3m_{3}+2\)
\(m_{4} = 3*35+2\)
\(m_{4} = 105+2\)
\(m_{4} = 107\) ---------------------------(1)
\(m_{4+1} = 3m_{4}+2\)
\(m_{5} = 3*107+2\)
\(m_{5} = 321+2\)
\(m_{5} = 323\)
\(m_{5+1} = 3m_{5}+2\)
\(m_{6} = 3*323+2\)
\(m_{6} = 969+2\)
\(m_{6} = 971\) --------------------------(2)
Answer : \(m_{4} = 107\) and \(m_{6} = 971\)
\(m_{n+1} = 3m_{n}+2\)
To find : Value of \(M_{4}\) and \(M_{6}\)
Solution: \(m_{n+1} = 3m_{n}+2\)
\(m_{1+1} = 3m_{1}+2\)
\(m_{2} = 3*3+2\)
\(m_{2} = 9+2\)
\(m_{2} = 11\)
\(m_{2+1} = 3m_{2}+2\)
\(m_{3} = 3*11+2\)
\(m_{3} = 33+2\)
\(m_{3} = 35\)
\(m_{3+1} = 3m_{3}+2\)
\(m_{4} = 3*35+2\)
\(m_{4} = 105+2\)
\(m_{4} = 107\) ---------------------------(1)
\(m_{4+1} = 3m_{4}+2\)
\(m_{5} = 3*107+2\)
\(m_{5} = 321+2\)
\(m_{5} = 323\)
\(m_{5+1} = 3m_{5}+2\)
\(m_{6} = 3*323+2\)
\(m_{6} = 969+2\)
\(m_{6} = 971\) --------------------------(2)
Answer : \(m_{4} = 107\) and \(m_{6} = 971\)
