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

Question

KnowledgeBoat · Accepted Answer

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.

Related Questions

The common ratio of the G.P. 0.15, 0.015, 0.0015, …… is :
0.1
0.01
1
0.001

The 8th term of the G.P. 1, 3, 9, 27, ………. is :
729
2187
6561
none of these

The 10th term of the G.P. 1, −a, a², −a³, …….. is :
a⁹
−a¹⁰
−a¹¹
−a⁹

Mathematics

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

G.P.

Related Questions

The common ratio of the G.P. 0.15, 0.015, 0.0015, …… is :0.10.0110.001

The 8th term of the G.P. 1, 3, 9, 27, ………. is :72921876561none of these

The 10th term of the G.P. 1, −a, a2, −a3, …….. is :a9−a10−a11−a9

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

The common ratio of the G.P. 0.15, 0.015, 0.0015, …… is :
0.1
0.01
1
0.001

The 8th term of the G.P. 1, 3, 9, 27, ………. is :
729
2187
6561
none of these

The 10th term of the G.P. 1, −a, a², −a³, …….. is :
a⁹
−a¹⁰
−a¹¹
−a⁹