Question

What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?

10, 5, 0, -5, -10, ...
A) -5n
B) -5n + 15
C) -3n + 15
D) 5n

Answer 1

Answer:

B

Step-by-step explanation:

These are the terms of an arithmetic sequence with n th term

$a_{n}$ = $a_{1}$ + (n - 1)d

where d is the common difference and $a_{1}$ the first term

here d = - 10 - (- 5) = - 5 - 0 = 0 - 5 = - 5 and $a_{1}$ = 10, hence

$a_{n}$ = 10 - 5(n - 1) = 10 - 5n + 5 = 15 - 5n → B