Posted by grandhi on Sunday, August 21, 2011 at 6:39am.
1.1+2.2+3.3+4.4+5.5.............+100.100=?

arithmetic  Anonymous, Sunday, August 21, 2011 at 8:23am
Before 100.100 we have 99.99?

arithmetic  Reiny, Sunday, August 21, 2011 at 9:19am
this is an arithmetic series, where
a=1.2
r=0.1
n = ? but t(n) = 100.100
t(n) = a + (n1)d
100.100 = 1.1 + .1(n1)
99=.1n.1
.1n=99.1
n=991
so there are 991 terms
sum(991) = (991/2)(first + last)
= (991/2)(1.1 + 100.100) = 50144.6

arithmetic  Anonymous, Sunday, August 21, 2011 at 10:34am
This is not arithmetic series if we have
...9.9+10.10+...+99.99+100.100

CHECK  arithmetic  Reiny, Sunday, August 21, 2011 at 12:41pm
correct, I made a silly error,
the d = 1.1 instead of 0.1 the way I had it.
It is an arithmetic series
new solution:
t(n) = 1.1 + (n1)(1.1)
100.100 = 1.1 + 1.1n  1.1
n = 91
so there are 91 terms
sum(91) = (91/2)(1.1+100.100) = 4604.6
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