The nth term of the G.P. x^3, x^5, x^7, ........ is : 1. x(2n - 1) 2. x(2n + 3) 3. x(2n + 1) 4. x3n + 2

In the given G.P., a = x3 r = = x5 - 3 = x2 We know that, nth term of a G.P. is given by, Tn = arn - 1 ⇒ Tn = x3.(x2)n - 1 = x3.(x2n - 2) = x2n - 2 + 3 = x2n + 1. Hence, option 3 is the correct option.

Mathematics

The nth term of the G.P. x³, x⁵, x⁷, …….. is :
x^{(2n - 1)}
x^{(2n + 3)}
x^{(2n + 1)}
x^{3n + 2}

G.P.

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Answer

In the given G.P.,

a = x³

r = $\dfrac{x^5}{x^3}$ = x^{5 - 3} = x²

We know that,

nth term of a G.P. is given by,

T_n = ar^{n - 1}

⇒ T_n = x³.(x²)^{n - 1}

= x³.(x^{2n - 2})

= x^{2n - 2 + 3}

= x^{2n + 1}.

Hence, option 3 is the correct option.

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Mathematics

The nth term of the G.P. x³, x⁵, x⁷, …….. is :
x^{(2n - 1)}
x^{(2n + 3)}
x^{(2n + 1)}
x^{3n + 2}

G.P.

Answer

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Mathematics

The nth term of the G.P. x3, x5, x7, …….. is :x(2n - 1)x(2n + 3)x(2n + 1)x3n + 2

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Answer

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