Question

Find the nth term of the sequence -5,-1,3,7​

Answer 1

`\bold{a_n=4n-9}`

Explanation:

-1-(-5) = 4 and 3-(-1) = 4 and 7-3 = 3

so: d=4

`a_n=a_1+d(n-1)\\a_1=-5\\d=4\\\\a_(n)=-5+4(n-1)=-5+4n-4=4n-9`

Answer 2

4n - 9

Explanation:

use formula nth term = a + (n-1)d where a is the first term and d is common difference