SELECT * FROM question_mgmt as q WHERE id=1019 AND status=1 SELECT id,question_no,question,chapter FROM question_mgmt as q WHERE courseId=2 AND subId=6 AND chapterId=80 and ex_no='3' AND status=1 ORDER BY CAST(question_no AS UNSIGNED)

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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