Posted by Candy on Friday, February 17, 2017 at 1:42am.
An arithmetic sequence has a first term of 0 and a 10th term of 15. If 10 is an output of the sequence, which term number is it? Show and explain how you know you have the correct answer.

Math  Reiny, Friday, February 17, 2017 at 4:54am
the general term of an AS is
a + (n1)d, where a is the first term, d is the common difference, and n is the number of terms
so :
a = 0
a+9d = 15
0+9d = 15
d = 15/9 = 5/3
For 10 to be one of the terms
a + (n1)d = 10
0 + (n1)(5/3) = 10
times 3:
5(n1) = 30
5n5 = 30
5n = 35
n = 7
check:
term(7) = a+6d
= 0 + 6(5/3) = 10
All is good!
Answer This Question
Related Questions
 Algebra  I am so lost on these problems. Write a geometric sequence that starts...
 Algebra  True or False 1. – 5, – 5, – 5, – 5, – 5, … is an ...
 Arithmetic Sequence  Given the third term of an arithmetic sequence less than ...
 math  find the rule for the Nth term of the arithmetic sequence. 11/2, 25/6, 17...
 Math  A sequence is formed by adding together the corresponding terms of a ...
 math  The 3rd term in an arithmetic sequence is 12, the 7th term is 24, a) How ...
 Quick math help  Find the tenth term of the sequence: 6,1,8... Is it 57? For ...
 Quick Math Help  Find the tenth term of the sequence: 6,1,8... Is it 57? For ...
 Quick math help  Find the tenth term of the sequence: 6,1,8... Is it 57? For ...
 Math  3,5,5... The first term in the sequence of #'s shown above is 3. Each ...
More Related Questions