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nosugh
05.09.2019 •
Mathematics
compute each sum below. if applicable, write your answer as a fraction.
5+5(-2)+5+(-2)^2++5(-2)^7=
9
∑ (1/4i)=
i=1
Solved
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Ответ:
First equation is -425
Second equation is 11.25
Step-by-step explanation:
First equation we can write as
computing
When i=0 ->![5 \times (-2)^0 =5](/tpl/images/0223/3043/16d09.png)
When i=1 ->![5 \times (-2)^1 = -10](/tpl/images/0223/3043/5eab9.png)
...
When i=7 ->![5 \times (-2)^7 = --640](/tpl/images/0223/3043/cb933.png)
then replacing each term we have
For the second equation we'll have 9 terms, solving in a similar fashion
When i=1 ->![\frac{1}{4}1=0.25](/tpl/images/0223/3043/e28bd.png)
When i=2 ->![\frac{1}{4}2=0.50](/tpl/images/0223/3043/affb6.png)
When i=3 ->![\frac{1}{4}3=0.75](/tpl/images/0223/3043/3b269.png)
...
When i=9 ->![\frac{1}{4}9=2.25](/tpl/images/0223/3043/0f2ef.png)
So we have 0.25 + 0.50 + 0.75 + 1.00 + 1.25 + 1.50+ 1.75 +2.00 +2.25
Ответ: