Answer:
- -25, 4, 33, 62, 91, 120, ...
Step-by-step explanation:
Given
The arithmetic sequence
- .. , 4, ?, ?, ?, 120, ...
To find:
Solution
Let the first term a₁ = x, and common difference = d then we have:
- a₁ = x
- a₂ = x + d = 4
- ...
- a₆ = x + 5d = 120
The difference of the 6th and 2nd terms:
- a₆ - a₂ =
- a + 5d - x - d = 120 - 4
- 4d = 116
- d = 116/4
- d = 29
Then we get the first term and other missing terms:
-25, 4, 4+29 = 33, 33+29 = 62, 62 + 29= 91, 91+29 = 120, ...
