Question

a7 is divided by a4 of a gp is 343 then common ratio

Answer 1

Step-by-step explanation:

Given a7 is divided by a4 of a gp is 343 then common ratio

• The nth term of a G.P is given by a n = a r^n – 1 where a and r are first term and common ratio.
• Now a7 will be a7 = a. r^7 – 1 = a.r^6
• Also a4 will be a4 = a. r^4 – 1 = a.r^3
• Dividing both the terms we get
•                                   So a7 / a4 = a.r^6 / a.r^3
•                                                      = r^6 / r^3
• Now r^6 / r^3 = 343
•   Or r^6 – 3 = 343
•  Or r^3 = 343
• Or r = cube root of 343
• Or r = 7

Therefore the common ratio will be 7  

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Answer 2

Answer:

Given a7 is divided by a4 of a gp is 343 then common ratio

The nth term of a G.P is given by a n = a r^n – 1 where a and r are first term and common ratio.

Now a7 will be a7 = a. r^7 – 1 = a.r^6

Also a4 will be a4 = a. r^4 – 1 = a.r^3

Dividing both the terms we get

                                 So a7 / a4 = a.r^6 / a.r^3

                                                    = r^6 / r^3

Now r^6 / r^3 = 343

 Or r^6 – 3 = 343

Or r^3 = 343

Or r = cube root of 343

Or r = 7

Therefore the common ratio will be 7  

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