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The 10th common term between the series ...

The 10th common term between the series `:`
`3+7+11+"……."` and ` 1+ 6 + 11 + "………….."1` is :

A

191

B

193

C

211

D

None of these

Text Solution

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The correct Answer is:
A
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  • The 10^(th ) term of the series 3+13+29+51+79+.. ..

    A
    1.300
    B
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    C
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    D
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  • Sum to n terms of the series 1+3+7+13+.. .=

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    B
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    3: `(n(2 n^(2)+1))/(3) `
    D
    4: `(n(4 n^(2)-1))/(3)`

  • The n^(th ) term of the series 1+4+13+40+.. . is

    A
    1) `(1)/(4)(3^(n)+1)`
    B
    2)`(1)/(2)(3^(n-1)+1)`
    C
    3)` (1)/(2)(3^(n)-1)`
    D
    4)`(1)/(8)(3^(2 n)-1)`

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