Question

the terms in this sequence increase by the same amount each time. _19_ _ 34_ a) work out the missing terms.

Answer 1

The sequence is 14, 19, 24, 29, 34, 39.

Explanation:

Let's call the common difference (the difference between two consecutive terms) as d. We see that the second term is 19 and the 5th term is 34 and since 5 - 2 = 3, we add d 3 times to 19 to get 34 so therefore:

19 + 3d = 34

3d = 15

d = 5 so the first term is 19 - 5 = 14, the third would be 19 + 5 = 24, the fourth would be 24 + 5 = 29 and the sixth would be 34 + 5 = 39.