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AllenTTG
01.07.2019 •
Mathematics
What is the nth term rule of the linear sequence below? 22 , 18 , 14 , 10 , 6 , . .
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Ответ:
The required
term rule of sequence is given by ![a_{n}=26-4n](/tpl/images/0039/6658/62d3c.png)
Step-by-step explanation:
Given: A linear sequence![22 , 18 , 14 , 10 , 6 , . . .](/tpl/images/0039/6658/acc35.png)
As per question,
First term of sequence is
.
Second term of sequence is 18,
Third term of sequnce is 14.
For a sequence to be in A.P, its common difference
must be same for all terms.
Common difference![(d)=a_{2} -a_{1} =a_{3} -a_{2} =-4](/tpl/images/0039/6658/4a91c.png)
Now,
term of sequence is given by ![a_{n}=a+(n-1)d](/tpl/images/0039/6658/0a608.png)
Therefore,
term of sequence is ![a_{n}=22+(n-1)(-4)](/tpl/images/0039/6658/63caf.png)
Hence,
term rule of sequence is given by
.
For more information:
link
Ответ:
Step-by-step explanation:
The nth term of an AP is
where, a is the first term of the sequence and d is common difference.
The given linear sequence is
22 , 18 , 14 , 10 , 6 , . . .
Here, first term is 22 and common difference is
The common difference of the sequence is -4. So, the nth term of given sequence is
Therefore, the nth term of the sequence is
.
Ответ:
A) ∠BEI ≅ ∠CEH because vertical angles are congruent; rotate ΔCEH 180° around point E, then translate point C to point B to confirm∠IBE ≅ HCE.