Question

What are the missing terms of the arithmetic sequence 4, x,14,x ,24,x ?

Answer 1

The missing terms in the arithmetic sequence 4, x, 14, x, 24, x are x, x + 10, and x + 20.

Step-by-step explanation:

The missing terms of the arithmetic sequence 4, x, 14, x, 24, x can be found by identifying the pattern in the given sequence. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. Therefore, we can find the common difference (d) by subtracting the first term from the second term:

d = x - 4

Now, we can find the missing terms:

1. The second term is x - 4 + 4 = x.
2. The fourth term is x - 4 + 14 = x + 10.
3. The sixth term is x - 4 + 24 = x + 20.

So, the missing terms are x, x + 10, and x + 20.