19) The Sum to infinity of the following geometric
Progressions 10,9,8.1,7.29....is
a) 100
b) 15
c) 51
d) 654
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We observe that the above progression possess a common ratio. So it is a geometric progression.
Common ratio = r = -9/10
Sum of infinite GP = a/1-r
,where a is the first term and r is the common ratio.
Note: We can only use the above formula if |r|<1
Clearly, a = 10 and r = -9/10
⇒ sum =
= 100/19
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