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MrRissso [65]
4 years ago
8

the first term in a geometric series is 64 and the common ratio is 0.75. Find the sum of the first 4 terms in a series.

Mathematics
1 answer:
Rufina [12.5K]4 years ago
6 0

hi

u0 = 64       with  u(n+1) = un *0.75  

u3 =  64 *0.75^3   = 27

sum is :      64 *  ( 0.75^4 -1)  / 0.75-1  = 175

manual proof :    64 + 48+36+27 = 175

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4 0
3 years ago
Solve for x: 4|2x − 2| + 10 = 34.
fiasKO [112]
Remark
This will have 2 solutions. I will enclose a graph to show how it is done.
4|2x - 2| + 10 = 34 Subtract 10

Solution
4|2x - 2| = 34 - 10
4|2x - 2| = 24             Divide by 4
|2x - 2| = 24/4      
|2x - 2| = 6

Solution 1
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x = 8/2
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Solution 2
Make the 6 into - 6 and solve again
|2x - 2| = - 6
2x - 2= -6                  Add 2 to both sides.
2x  = - 6 + 2
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x = - 2

Answer
There are 2 solutions 
(-2,0) and (4,0) See the graph below.



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3 years ago
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