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Sum of n Terms

19. THE SUM O...

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19. THE SUM OF INFINITE GP IS 1/3 AND THE FIRST TERM IS 1/4. FIND THE GP.

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Q. If the sum of first two terms of an infinite GP is 1 every term is twice the sum of all the successive terms, then its first term is
(a) 1/3
(b) 2/3
(c) 1/4
(d) 3/4

Q. The sum of first two terms of a GP is

\frac{14}{5}

and the sum of infinite terms is

\frac{10}{3}

. The first term of the GP if the common ratio is positive is___.

Q. In a GP the product of the first four terms is

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and the second term is the reciprocal of the fourth term. The sum of the GP up to infinite terms is

Q. The sum of an infinite GP is 8, its second term is 2, find its first term.

If the sum of first two terms of an infinite GP is 1 and every term is twice the sum of all the successive terms, then its first term is

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