Find the common ratio of the GP 5/2,5/4,5/8
Answers
Answer:
1/2
Step-by-step explanation:
t1=5/2
t2=5/4
t3=5/8
so
common ratio
t2/t1=t3/t2
5/4 / 5/2=5/8 / 5/4
1/2=1/2
common ratio=1/2
Answer:
The common ration of the given GP is 1/2
Step-by-step explanation:
The common ratio of a geometric progression (GP) is the factor by which each term is multiplied to obtain the next term. To find the common ratio of the GP 5/2, 5/4, 5/8, we can divide any term by the previous term.
Dividing the second term 5/4 by the first term 5/2, we get:
(5/4) ÷ (5/2) = (5/4) x (2/5) = 1/2
Dividing the third term 5/8 by the second term 5/4, we get:
(5/8) ÷ (5/4) = (5/8) x (4/5) = 1/2
Since both division results in the same value of 1/2, we can conclude that the common ratio of the given GP is 1/2.
Therefore, the terms in this GP are obtained by multiplying the previous term by 1/2, which means that each term is half of the previous term.
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