SOLUTION: Which of the following equations could be used to find the nth term in the arithmetic sequence 14, 8, 2, -4, . . .? A) an=14-8(n-1) B) an=14+(n-1)6 C) an=14-6(n-1) D) an=14-6

Algebra ->  Square-cubic-other-roots -> SOLUTION: Which of the following equations could be used to find the nth term in the arithmetic sequence 14, 8, 2, -4, . . .? A) an=14-8(n-1) B) an=14+(n-1)6 C) an=14-6(n-1) D) an=14-6      Log On


   



Question 448360: Which of the following equations could be used to find the nth term in the arithmetic sequence 14, 8, 2, -4, . . .?
A) an=14-8(n-1)
B) an=14+(n-1)6
C) an=14-6(n-1)
D) an=14-6+8(n-1)
(The n's are supposed to be small and below the a's. Like an exponent but on the bottom.)

Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Hint: Use the formula a%5Bn%5D=a%5B1%5D%2B%28n-1%29d where a%5B1%5D is the first term and 'd' is the difference between each term.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Which of the following equations could be used to find the nth term in the arithmetic sequence 14, 8, 2, -4, . . .?
---
a(1) = 14
d = -6
-------
General Form:
a(n) = a(1)+(n-1)d
For this problem:
a(n) = 14 + (n-1)(-6)
=========================
A) an=14-8(n-1)
B) an=14+(n-1)6
C) an=14-6(n-1)
D) an=14-6+8(n-1)
(The n's are supposed to be small and below the a's. Like an exponent but on the bottom.)
============
Ans: C
=======================
Cheers,
Stan H.
=======================