Question

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

Answer 1

The common difference between terms is the factor of n. What is the common difference in your question?

Answer 2

"multiplier of n", Sorry

Answer 3

4

Answer 4

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?

Answer 5

4-5=1

Answer 6

o

Answer 7

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?

Answer 8

1-5=4

Answer 9

so 4 right???

Answer 10

Not quite. Shouldn't it be -4?

Answer 11

yea my bad lol

Answer 12

so its a

Answer 13

OK. So the multiplier of n has to be -4. That narrows your choices down to two.

Answer 14

a

Answer 15

For the first term, n=1. So test the choices with n=1 and see which one gives you the first term, 5.

Answer 16

its c

Answer 17

Right on. Well done!