Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence

A geometric sequence has a constant ratio 'r' and is defined by

Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

Thus, the given sequence is a geometric sequence.
As the first element of the sequence is

Therefore, the nth term is calculated as


Put n = 5 to find the next term






now, Put n = 6 to find the 6th term






Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:
The awnser is 20 quarters
I Think the answer is 31 because 20-5 is 15 so 36-5 is 31
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<span><span> 5x2-23x=-26</span> </span>Two solutions were found :<span><span> x = 2
</span><span> x = 13/5 = 2.600
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Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x^2-23*x-(-26)=0
Step by step solution :Skip Ad
<span> Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5x2 - 23x) - -26 = 0
</span><span> Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 5x2-23x+26</span>
The first term is, <span> <span>5x2</span> </span> its coefficient is <span> 5 </span>.
The middle term is, <span> -23x </span> its coefficient is <span> -23 </span>.
The last term, "the constant", is <span> +26 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 5 • 26 = 130</span>
Step-2 : Find two factors of 130 whose sum equals the coefficient of the middle term, which is <span> -23 </span>.
<span><span>
-130
+
-1
=
-131
<span>
</span>
</span>
<span>
-65
+
-2
=
-67
<span>
</span>
</span>
<span>
-26
+
-5
=
-31
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</span>
</span>
<span>
-13
+
-10
=
-23
That's it</span></span>
Answer:
3.6 units (nearest tenth)
Step-by-step explanation:
distance formula
= 
Thus, distance between the 2 points
= √[(5 - 3)² + (1 - 4)²]
= √[ 2²+ ( - 3)²]
= √13
= 3.6 units (nearest tenth)