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11th Standard English Medium Maths Subject Binomial Theorem, Sequences and Series Book Back 2 Mark Questions with Solution Part - I

11th Standard

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Maths

Time : 01:00:00 Hrs
Total Marks : 20

    2 Marks

    10 x 2 = 20
  1. Show that the sum of (m + n)th and (m - n)th term of an A.P is equal to twice the mth term.

  2. Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetic-geometric progression, harmonic progression and none of them. \(\frac { 1 }{ 2^{ n+1 } } \)

  3. Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetic geometric progression, harmonic progression and none of them \(\frac { \left( n+1 \right) \left( n+2 \right) }{ \left( n+3 \right) (n+4) } \)

  4. Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression,arithmetic-geometric progression, harmonic progression and none of them 4\(\left( \frac { 1 }{ 2 } \right) ^{ n }\)

  5. Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetic -geometric progression, harmonic progression and none of them \(\frac { (-1)^{ n } }{ n } \)

  6. Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetic -geometric progression, harmonic progression and none of them \(\frac { 2n+3 }{ 3n+4 } \)

  7. Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetic -geometric progression, harmonic progression and none of them 2018

  8. Write the first 6 terms of the sequences whose nth terms are given below and classify them as arithmetic progression, geometric progression, arithmetic - geometric progression, harmonic progression and none of them \(\frac { 3n-2 }{ 3^{n-1} } \)

  9. Write the first 6 terms of the sequences whose nth term an given below
    \({ a }_{ n }=\begin{cases} n+1\quad if\quad n\quad is\quad odd \\ n\quad \quad if\quad n\quad is\quad even \end{cases}\)

  10. Write the first 6 terms of the sequences whose nth term an given below \(a_n= \begin{cases}n & \text { if } n \text { is } 1,2 \text { or } 3 \\ a_{n-1}+a_{n-2}+a_{n-3} & \text { if } n>3\end{cases}\)

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