Question

HELLO? Can anyone answer my question PLS!!! HELP!!!

Write the explicit equation
for the sequence
9, 5, 1, -3, -7…

Answer 1

`a_(n)` = 13 - 4n

Explanation:

Note the common difference d between consecutive terms, that is

d = 5 - 9 = 1 - 5 = - 3 - 1 = - 7 - (- 3) = - 4

This indicates the sequence is arithmetic with n th term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 4, thus

`a_(n)` = 9 - 4(n - 1) = 9 - 4n + 4 = 13 - 4n ← explicit equation

Answer 2

13-4n

Explanation:

The generic formula to calculate this is. a+(n-1) d

“a” is the first term and “d” is the difference in our case “a” is 9 and “d” is -4

9+(n-1)(-4)

9-4n+4

13-4n