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Irina-Kira [14]

4 years ago

14

suppose the set a is a union of the first 2017 term of each of the arithmetic sequences that follow. how many distinct numbers a

re in the set a? 2,5,8... 10,17,24

1 answer:

bekas [8.4K]4 years ago

7 0

There are 2 distinct numbers in the a .

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lys-0071 [83]

Answer:

<2, <5, <4, <7

Step-by-step explanation:

Angles are Supplementary when their sum is 180 degrees.

so angle 1's supplements are <2, <5, <4, <7

4 0

4 years ago

Anybody help me to solve this question.

Mumz [18]

Answer:

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)} are\ in\ AP$

Step-by-step explanation:

Given that $(b-c)^2, (c-a)^2 , (a-b)^2$ are in AP

To prove: $\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}$ are in AP

From given as we know if p , q, r are in AP then 2q= p+r.

$2(c-a)^2= (b-c)^2+(a-b)^2\\\\\Rightarrow 2(c^2+a^2-2ac)=b^2+c^2-2bc+a^2+b^2-2ab\\\\\Rightarrow 2c^2+2a^2-4ac= 2b^2+c^2+a^2 -2bc-2ab\\\\\Rightarrow a^2+c^2-2b^2-4ac= -2bc-2ab\\\\\Rightarrow a^2-2b^2+c^2= 4ac-2bc-2ab$

Now

$\dfrac{1}{(b-c)},\dfrac{1}{(c-a)} ,\dfrac{1}{(a-b)}2\dfrac{1}{(c-a)} =\dfrac{1}{(b-c)}+\dfrac{1}{(a-b)}\\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-b+b-c}{(b-c)(a-b)} \\\\\Rightarrow \dfrac{2}{(c-a)}= \dfrac{a-c}{(b-c)(a-b)} \\\\\Rightarrow2(b-c)(a-b) = (c-a)(a-c) \\\\\Rightarrow 2(ab-b^2-ac+bc)= -(a-c)^2\\\\\Rightarrow 2ab- 2b^2-2ac+2bc = -a^2-c^2+2ac\\\\\Rightarrow a^2-2b^2+c^2=4ac-2ab-2bc$

Which is the result of AP

.

Hence proved

6 0

3 years ago

on every 3rd day Ivan goes to the gym. On every fifth day Gavin goes to the gym. What day will Ivan and Gavin will see each othe

Marat540 [252]

They will see each other on the fifteenth day

5 0

4 years ago

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Please help legit things only or you get banned thanks!!!!!!!!!!!!!

DedPeter [7]

Answer:

a

Step-by-step explanation:

this property states a line or shape is always equal to itself

5 0

3 years ago

5√28+ √63<br> please simplify no exponents please

zaharov [31]

Answer:

34.3948

Step-by-step explanation:

$5\sqrt{28} +\sqrt{63} = 13\sqrt{7} = 34.3948$

3 0

3 years ago

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