Question

Form a sequence that has two arithmetic means between -1 and 59.

a.

-1, 29, 29, 59

c.

19, -1, 59, 39

b.

-1, 19, 39, 59

d.

-1, 14, 29, 44, 59

 


Please select the best answer from the choices provided

A

B

C

D

pls help ​

Answer 1

b

Explanation:

The sequence will be arithmetic with 4 terms and a common difference d, which requires to be found.

The n th term of an arithmetic sequence is

`a_(n)` = a + (n - 1)d

where a is the first term

here a = - 1, n = 4 and
`a_(4)` = 59, hence

- 1 + 3d = 59 ( add 1 to both sides )

3d = 60 ( divide both sides by 3)

d = 20, thus the four terms are

-1

- 1 + 20 = 19

19 + 20 = 39

39 + 20 = 59, that is

- 1, 19, 39, 59 → b

Answer 2

Answer: B

i cant really explain much but it’s c