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  • 20-12-2021
  • Mathematics
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the sum of three terms in a GP is 14 and the sum of their squares is 84, find the terms

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isaacf1890
isaacf1890 isaacf1890
  • 20-12-2021

Answer:

The terms are 2, 4, and 8

Step-by-step explanation:

a+b+c=14

a^2+b^2+c^2=84

Plug in numbers.

3+6+5=14

3^2+6^2+5^2=70

This is too little, meaning the some of the terms have to be larger.

1+7+6=14

1^2+7^2+6^2=86

This is too much, meaning smaller terms are needed.

2+8+4=14

2^2+8^2+4^2=84

This is perfect.

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