Answer:
Activity 2: Finding the nth term
Activity 3: Determining Expression from Equation
1. EX
2. EQ
3. EX
4. EX
5. EQ
Step-by-step explanation:
Arithmetic rule or the nth term of an arithmetic sequence is given through the formula:
where is the nth term
is the first term
is the term position
is the common difference
First, we'll figure out what's their common difference.
⇒
Now that we have the common difference of the first number, diretso na tayo sa substitution ng values sa variables ng equation.
Moving on sa next number,
We'll do the same steps sa past number, finding the common difference.
And substitution of the values sa variables ng equation.
One can determine an expression compared to equation by looking kung meron ba siyang equal sign.
2.
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Answers & Comments
Answer:
Activity 2: Finding the nth term
Activity 3: Determining Expression from Equation
1. EX
2. EQ
3. EX
4. EX
5. EQ
Step-by-step explanation:
Activity 2: Finding the nth term
Arithmetic rule or the nth term of an arithmetic sequence is given through the formula:
where
is the nth term
First, we'll figure out what's their common difference.
⇒![a_n=a_1+(n-1)d a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
⇒![7=2+(2-1)d 7=2+(2-1)d](https://tex.z-dn.net/?f=7%3D2%2B%282-1%29d)
⇒![7=2+d 7=2+d](https://tex.z-dn.net/?f=7%3D2%2Bd)
⇒![5 = d 5 = d](https://tex.z-dn.net/?f=5%20%3D%20d)
Now that we have the common difference of the first number, diretso na tayo sa substitution ng values sa variables ng equation.
⇒![a_n=2+(n-1)5 a_n=2+(n-1)5](https://tex.z-dn.net/?f=a_n%3D2%2B%28n-1%295)
⇒![a_n=2+5n-5 a_n=2+5n-5](https://tex.z-dn.net/?f=a_n%3D2%2B5n-5)
⇒![a_n=5n-3 a_n=5n-3](https://tex.z-dn.net/?f=a_n%3D5n-3)
Moving on sa next number,
We'll do the same steps sa past number, finding the common difference.
⇒![a_n=a_1+(n-1)d a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
⇒![-1=1+(2-1)d -1=1+(2-1)d](https://tex.z-dn.net/?f=-1%3D1%2B%282-1%29d)
⇒![1=-1+d 1=-1+d](https://tex.z-dn.net/?f=1%3D-1%2Bd)
⇒![-2 = d -2 = d](https://tex.z-dn.net/?f=-2%20%3D%20d)
And substitution of the values sa variables ng equation.
⇒![a_n=1+(n-1)(-2) a_n=1+(n-1)(-2)](https://tex.z-dn.net/?f=a_n%3D1%2B%28n-1%29%28-2%29)
⇒![a_n=1-2n+2 a_n=1-2n+2](https://tex.z-dn.net/?f=a_n%3D1-2n%2B2)
⇒![a_n=3-2n a_n=3-2n](https://tex.z-dn.net/?f=a_n%3D3-2n)
Activity 3: Determining Expression from Equation
One can determine an expression compared to equation by looking kung meron ba siyang equal sign.
Answer:
ACTIVITY 2 : Finding the nth term
QUESTION:
1.)2,7,12,17,22 2.1,-1,-3,-5
ANSWER:
1.The chosen topic is not meant for use with this type of problem. Try the examples below.
n=3 , a=64
n=2 ,b=9
a=1024 , n=10
2.