Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
Find an equation for the nth term of the arithmetic sequence.
a10 = 32, a12 = 106
 one year ago
 one year ago
Find an equation for the nth term of the arithmetic sequence. a10 = 32, a12 = 106
 one year ago
 one year ago

This Question is Closed

genius12Best ResponseYou've already chosen the best response.1
Firstly, the formula of for a term of an arithmetic sequence is given by:\[x _{n}=a+(n1)d\]Where a is the first term, n is the term number, d is the common difference. Since we know this is an arithmetic sequence, then a11 is the average of a10 and 12. Therefore: a11 = (32 + 106) / 2 = 138 / 2 = 69 Now we have the sequence: 32, 69, 106. Since this is an arithmetic sequence, a11  a10 gives us the common difference. d = 69  32 = 37. Now we got d, so we just need to find a. We can use the already given a11 to find a.\[69=a+(111)37 \rightarrow 60=a+370 \rightarrow a=310\]Now we know a = 310 and = 37. We plug in these values to get the equation:\[x _{n}=310+(n1)37\]
 one year ago

katherinekcBest ResponseYou've already chosen the best response.0
oh i get it! thank you!
 one year ago

katherinekcBest ResponseYou've already chosen the best response.0
could you help me on this to? if you can A certain species of tree grows an average of 3.1 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 400 centimeters tall.
 one year ago

wioBest ResponseYou've already chosen the best response.2
A certain species of tree grows an average of 3.1 cm per week. \[ d = 3.1\]the measurements begin when the tree is 400 centimeters tall. \[a_1 = 400 \]So this means \[ a_n = a_1 +(n1)d = 400+(n1)3.1 \]
 one year ago

katherinekcBest ResponseYou've already chosen the best response.0
Ohh okay! i just couldnt figure out how to start it!! thank you!!
 one year ago

katherinekcBest ResponseYou've already chosen the best response.0
also, for this problem; Find an equation for the nth term of the arithmetic sequence. 3, 5, 7, 9, ... would the answer be an = 3 + 2(n  1)?
 one year ago

katherinekcBest ResponseYou've already chosen the best response.0
im sorry to be a bother.. but would this one be correct to? Find an equation for the nth term of the arithmetic sequence. 8, 6, 4, 2, ... an = 8 + 2(n  1)?
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.