5th To The 8th Terms​

5th to the 8th terms​

Answer:

The 5^th and 8^th terms of geometric sequence of real numbers are 7! and 8! respectively. If the sum to first n terms of the G.P. is 2205 , then n equals.

Step-by-step explanation:

Solution

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Let 

a,ar,ar2,ar3,… are in G.P.

Now, 

ar4=7!  and  ar7=8!

∴ar4ar7=7!8!⇒r3=8⇒r=2

Hence, 

a.24=5040

∴  a=165040=315

So, 315,630,1260,… are in G.P.

∴  S3=2205⇒n=3

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