Question

Write an explicit formula definition for the sequence 21, 16, 11, 6,...

Help please!

Answer 1

-5n+26 because it goes down by 5 each time so -5n then dofferance is 26

Answer 2

explicit formula is 21 - 5n .

Explanation:

Given : sequence 21, 16, 11, 6,...

To find : Write an explicit formula definition

Solution : We have sequence 21, 16, 11, 6,...

We can see from given sequence First term is 21 and difference = 5

Then , 21 - 5n

Let , n = 0

First term = 21 - 5 (0)

= 21

Second term , n = 1

Second term = 21 - 5 (1)

= 21 - 5 = 16

Third term , n = 2

21 - 5 (2)

21 - 10 = 11

Therefore, explicit formula is 21 - 5n .