If A = (1/0.4) + (1/0.04) + (1/0.004) + ________ + upto 8 terms, then what is the value of A?
27777777.5
The terms \(\tfrac{1}{0.4}=2.5,\ \tfrac{1}{0.04}=25,\ \tfrac{1}{0.004}=250,\dots\) form a GP with \(a=2.5,\ r=10,\ n=8\).
\[A = a\cdot\frac{r^n-1}{r-1} = 2.5\cdot\frac{10^8-1}{9} = 2.5 \times 11111111\]
Therefore A = 27,777,777.5.
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Match the following.
Column I
Column II
a.
Equivalent fraction of \(\frac{7}{12}\) is
i.
Proper fraction
b.
Equivalent fraction of \(\frac{9}{15}\) is
ii.
Improper fraction
c.
\(\frac{7}{11}\) is
iii.
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d.
\(\frac{19}{5}\) is
iv.
\(\frac{3}{5}\)
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