Question

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

Answer 1

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✔✔ The first term, a of the G.P is given as -3

✔✔ The nth term of the G.P. is given by an = arn – 1

✔✔ ∴Second term, a2 = ar = –3r

4th term, a4 = ar3 = –3r3

✔✔ It is given that, –3r3 = (–3r)2  

∴–3r3 = 9r2

✔✔ ⇒ r = –3

✔✔ Thus, 7th term, a7 = ar6 = –3(–3)6 = –2187

HOPE IT HELPS!!!

Answer 2

The first term, a of the G.P is given as -3

The nth term of the G.P. is given by an = arn – 1
∴Second term, a2 = ar = –3r

4th term, a4 = ar3 = –3r3

It is given that, –3r3 = (–3r)2

∴–3r3 = 9r2

⇒ r = –3

Thus, 7th term, a7 = ar6 = –3(–3)6 = –2187

HOPE IT HELPS ✌