Find the 10th term of the G.P. -3/4, 1/2, -1/3, 2/9, ….

Question

Find the \( 10^{th}\) term of the G.P. \( \dfrac{-3}{4}, \dfrac{1}{2}, \dfrac{-1}{3}, \dfrac{2}{9}, ….\)

Asked by Sakshi | 1 year ago | 113

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Class 11 Maths Sequences and Series Add Answer

Class 11 Maths Sequences and Series View Answer

Class 11 Maths Sequences and Series View Answer

If a is the G.M. of 2 and \( \dfrac{1}{4}\) find a.

Class 11 Maths Sequences and Series View Answer

Find the geometric means of the following pairs of numbers:

(i) 2 and 8

(ii) a³b and ab³

(iii) –8 and –2

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Insert 5 geometric means between \( \dfrac{32}{9}\) and \( \dfrac{81}{2}\).

Class 11 Maths Sequences and Series View Answer

Accepted Answer

We know that,

t₁ = a = \( \dfrac{-3}{4}\), r = \(\dfrac{ (\dfrac{1}{2}) }{ (\dfrac{-3}{4})}\)

=\(\dfrac{ 1}{2} × \dfrac{-4}{3} = \dfrac{-2}{3}\)

By using the formula,

T_n = ar^n-1

T₁₀ = \( \dfrac{-3}{4}( \dfrac{-2}{3})^{10-1} \)

= \(\dfrac{ 1}{2}(\dfrac{2}{3})^8\)

Answered by Sakshi | 1 year ago