Question

work out a expression for the nth terms for each sequence. :-2,-7,-12,-17​

Answer 1

Answer:

3 + 5n

Step-by-step explanation:

Since the difference between each consecutive term is equal i.e.

(-7) - (-2) = -5

(-12) - (-7) = -5

this is an arithmetic progression

The first term = a = -2

The difference = d = -5

The nth term = a + [(n-1) * d]

= (-2) + [(n-1) * (-5)]

= (-2) + (-5n + 5)

= 3 + 5n