Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

iv)
The sum of
four numbers in G.P. is 80 and the A.M. between the
first and the last is 28. Show that the numbers are 2, 6, 18, 54.
​

Sagot :

sreedevi102

Answer:

Step-by-step explanation:

Given numbers : 2 , 6, 18, 54

Since common ration between numbers,

[tex]common \ ratio \ in \ GP , \ r = \frac{a_n}{a_{n-1}} = \frac{6}{2} = 3[/tex]

So the numbers are in GP.

Now Sum of the numbers = 2 + 6 + 18 + 54 = 80

AM, arithmetic mean between first and last number :

                                                                             [tex]\frac{54+2}{2} = \frac{56}{2} =28[/tex]

All the conditions are true.

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.