Question

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The sum of the first two terms of a decreasing geometric series is 5 ÷ 4 and the sum up to infinity is 9 ÷ 4, find the commonratio and the first term.​

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By Choudhary21 ❤️​

Answer 1

Answer:

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Step-by-step explanation:

Standard equation of a circle is <br>

<br> Let,

lies on this circle, then<br>

<br>

<br>

<br> Let

are the roots of equation (1), then,<br>

<br> So, product of roots is

.<br> As,

lie on this circle.<br>

Answer 2

Answer:

Given two terms are

3

,

3

+1

2

Common ratio is

3+

3

2

Sum of given infinite series is

1−

3+

3

2

3

=

1+

3

3(1+

3

)

=3