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eduard
4 years ago
8

Graph the six terms of a finite series where a1 = -3 and r = 1.5.

Mathematics
2 answers:
zloy xaker [14]4 years ago
6 0

The verified answer is D.

zavuch27 [327]4 years ago
4 0
A1 is the 1st term 
r is the difference, they can say "r" or "d" for the difference 

1st a1 is the first term = -3
2nd "r" is the difference between each consecutive terms (coming after each other) = 1.5
the rule to get any term of the sequence as we add 1.5 each time is --> a1+(n-1)*d 
a1 --> 1st term , n --> order of the term u want whether 2nd, 3rd , 25th 
d --> difference 
so to get the 2nd-->    -3+(2-1)*1.5= -1.5
to get the 3rd -->        -3 +(3-1)*1.5 = 0 
<span>and so on </span>
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I wrote down 3 different positive whole numbers that add 96. the sum of any 2 is divisible by the third.
il63 [147K]

This question is really simple if you focus on this part

“The sum of any two is divisible by the third”

<span>⟹⟹</span> Pairwise, the numbers must have a GCD greater than one.

Let this GCD be <span>xx</span>.

The first three easiest numbers I can think of are <span><span>x,2x</span><span>x,2x</span></span> and <span><span>3x</span><span>3x</span></span>

Because

<span><span>gcd(x,2x)=gcd(2x,3x)=gcd(3x,x)=x</span><span>gcd(x,2x)=gcd(2x,3x)=gcd(3x,x)=x</span></span>

The numbers sum to <span>9696</span>

<span><span>⟹x+2x+3x=96</span><span>⟹x+2x+3x=96</span></span>

<span><span>⟹6x=96</span><span>⟹6x=96</span></span>

<span><span>⟹x=16</span><span>⟹x=16</span></span>

The largest number is <span><span>3x=3×16=48</span><span>3x=3×16=48</span></span>

Thanks for the A2A

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if you're asking for the written out problem in an equation for it's 6 divided by 12


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