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Write the n^(th) term of the AP: a] ...

Write the `n^(th)` term of the AP:
a] `13,8,3,-2,…..`
b] `sqrt(2), 3 sqrt2, 5 sqrt2, …..`
c] `121, 117 , 113, …..`
d] `(3)/(4), (5)/(4) , (7)/(4), ….`
e] `-15, -10, -5, 0, ….....`

Text Solution

Verified by Experts

The correct Answer is:
a] `= 13+ 5-5n = 18 -5n`
b] `= sqrt(2) + 2 sqrt2 n -2 sqrt2 = 2 sqrt2 n -sqrt2`
c] `= 121 + (n-1)( -4) = 121 -4n+ 4 = 125 - 4n`
d] `= (3)/(4) + (n-1) ((1)/(2)) = (3)/(4) + (n)/(2) -(1)/(2) = (n)/(2) - (1)/(4)`.
e] `= -15 + (n-1) (5) = -15 + 5n -5 = 5n -20.`
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Knowledge Check

  • int dx/(sqrt(3x+5)-sqrt(3x+2)) =

    A
    `2/27[(3x+5)^(3/2)+(3x+2)^(3/2)]`
    B
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    C
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