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The 4th term of a G.P. is square of its second term, and the firs...

The 4th term of a G.P. is square of | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions

Question:

The 4th term of a G.P. is square of its second term, and the first term is –3. Determine its 7th term.

Answer:

Let a be the first term and r be the common ratio of the G.P.

∴ a = –3

It is known that, an = arn–1

∴a₄ = ar³ = (–3) r³

a₂ = a r¹ = (–3) r

According to the given condition,

(–3) r³ = [(–3) r]²

⇒ –3r³ = 9 r²

⇒ r = –3

a₇ = a r ⁷–1 = a r⁶ = (–3) (–3)6 = – (3)7 = –2187

Thus, the seventh term of the G.P. is –2187.

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Welcome to the NCERT Solutions for Class 11 Mathematics - Chapter . This page offers a step-by-step solution to the specific question from Excercise 3 , Question 4: The 4th term of a G.P. is square of its second term, and the first term is –3. Determine ....

The 4th term of a G.P. is square of | Class 11 Mathematics Chapter Sequence and Series, Sequence and Series NCERT Solutions

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