Question

Write an Equation for the nth Term

Find the equation for the nth term of the arithmetic sequences 1, –4, –9, –14, ….

In this sequence, a1 = 1 and d = –5. Apply the nth term formula to write an equation.

Answer 1

an = –5n + 6.

Explanation:

Answer 2

Answer: an = –5n + 6.

an = a1 + (n – 1)d

an = 1 + (n – 1)(–5) a1 = 1, d = –5

an = 1 + (–5n) + 5

an = –5n + 6

an = –5n + 6.