anonymous
  • anonymous
CAN SOMEONE HELP ME Which of the following choices is the simple formula for the nth term of the following arithmetic sequence? 5, 1, -3, -7, -11, ... A. -4n + 1 B. 4n + 1 C. -4n + 9 D. 5n + 4 E. 4n + 9
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
The common difference between terms is the factor of n. What is the common difference in your question?
anonymous
  • anonymous
"multiplier of n", Sorry
anonymous
  • anonymous
4

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anonymous
  • anonymous
Not quite. The common difference is the difference between any term and the term immediately before it. In other words, what do you have to add to 5 in order to get 1?
anonymous
  • anonymous
4-5=1
anonymous
  • anonymous
o
anonymous
  • anonymous
If we use d to represent common difference, then\[d=n _{k}-n _{k-1}\]In the given question, d=1-5. What do you get?
anonymous
  • anonymous
1-5=4
anonymous
  • anonymous
so 4 right???
anonymous
  • anonymous
Not quite. Shouldn't it be -4?
anonymous
  • anonymous
yea my bad lol
anonymous
  • anonymous
so its a
anonymous
  • anonymous
OK. So the multiplier of n has to be -4. That narrows your choices down to two.
anonymous
  • anonymous
a
anonymous
  • anonymous
For the first term, n=1. So test the choices with n=1 and see which one gives you the first term, 5.
anonymous
  • anonymous
its c
anonymous
  • anonymous
Right on. Well done!

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