+0

# SEQUENCE HOMEWORK HELP !

+1
58
2
+16

Find the 48th term of 9,13,17 . Round to the nearest thousandth if necessary.

jerrylinxdd  Dec 19, 2017

#1
+1601
+2

This one may not be nearly as obvious as the previous problem. The given sequence is definitely an arithmetic sequence because there is a common difference. The general formula for an arithmetic sequence is the following:

$$a_n=d(n-1)+c$$

d = the common difference

c = the first term in the sequence (sometimes referred to as a1)

The common difference is the constant amount of change between numbers. In this case, there exists a common differnece.

$$\underbrace{9, 13}\underbrace{, 17},...\\ +4\hspace{3mm}+4$$

Since the common diffence is 4, let's put that in for d.

$$a_n=4(n-1)+c$$

The first term in this sequence is given; it is 9.

$$a_n=4(n-1)+9$$

Just like that, we have generated the formula that generates the nth term in the sequence. To figure out the 48th term, simply evaluate at n=48.

$$a_{48}=4(48-1)+9\\ a_{48}=4*47+9\\ a_{48}=197$$

TheXSquaredFactor  Dec 19, 2017
Sort:

#1
+1601
+2

This one may not be nearly as obvious as the previous problem. The given sequence is definitely an arithmetic sequence because there is a common difference. The general formula for an arithmetic sequence is the following:

$$a_n=d(n-1)+c$$

d = the common difference

c = the first term in the sequence (sometimes referred to as a1)

The common difference is the constant amount of change between numbers. In this case, there exists a common differnece.

$$\underbrace{9, 13}\underbrace{, 17},...\\ +4\hspace{3mm}+4$$

Since the common diffence is 4, let's put that in for d.

$$a_n=4(n-1)+c$$

The first term in this sequence is given; it is 9.

$$a_n=4(n-1)+9$$

Just like that, we have generated the formula that generates the nth term in the sequence. To figure out the 48th term, simply evaluate at n=48.

$$a_{48}=4(48-1)+9\\ a_{48}=4*47+9\\ a_{48}=197$$

TheXSquaredFactor  Dec 19, 2017
#2
+16
+1

THANK YOU !!!!!!!!!!!

jerrylinxdd  Dec 19, 2017

### 33 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details