Question

What is the equation for the nth term of the arithmetic sequence where a1 = 30 and d = –9? an = 30 – 9n an = 30 – 9(n – 1) an = 30 + 9n an = 30 + 9(n – 1)

Answer 1

Given:

`a_1=30\text{ and d=-9}`
`a_n=a_1+(n-1)d`
`a_n=30_{}+(n-1)(-9)`
`a_n=30_{}-9(n-1)`