You need LCD or the least common denominator. For 4 over 8 and 2 over 8 have the same denominators except for 2 over 4. You need to ask yourself what times 4 equals to 8? 4 times 2 equals to 8, so multiply 4x2 for the denominator and for the numerator multiply 2x2. Whatever you do to the denominator you have to do the same thing to the numerator. You multiplied 4x2 for the denominator and 2x2 for the numerator and now your fraction is 4 over 8. Now add 4 over 8+ 4 over 8 which is 8 over 8 or 1. Now add 1+ 2 over 8 which is 1 2/8. If you simplify 1 2/8 it will become 1 1/4.

Hope that helped:D

3 0

3 years ago

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What is the 100th term if the sequence? 5 ,1 ,-3,-7

wel

5 ,1 ,-3,-7 ? what the dickens is going on?

notice, from 5 to 1, is really -4 units,

from 1 to -3, is -4 units as well, 1 -4 = -3 and so on.

so, to get the next term's value, you simply subtract 4 from the current one, namely -4 is the "common difference".

and we also know the first term is 5, ok... then

 $\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
d=-4\\
a_1=5\\
n=100
\end{cases}
\\\\\\
a_{100}=5+(100-1)(-4)\implies a_{100}=5+(99)(-4)
\\\\\\
a_{100}=5-396\implies a_{100}=-391$

3 0

3 years ago