Question

The following is an ap :9,x,y,z,25 find the next three terms after 25

Answer 1

since 25 = 9+4d, d=4
so the next terms are 29,33,37

Answer 2

In an arithmetic progression (AP), the difference between consecutive terms is constant. To find the next three terms after 25 in the given AP: 9, x, y, z, 25, we need to determine the common difference.

Looking at the given terms, we can see that the difference between each adjacent term is not constant:

9 to x: The common difference is x - 9.
x to y: The common difference is y - x.
y to z: The common difference is z - y.
z to 25: The common difference is 25 - z.

Since the common difference is not specified, we cannot determine the next terms accurately. However, if we assume that it is constant, we can find the potential next terms by adding the common difference to the last term in the given sequence (25).

Let's assume that the common difference is d. The next three terms can be found as follows:

Next term: 25 + d
Second next term: (25 + d) + d = 25 + 2d
Third next term: (25 + 2d) + d = 25 + 3d

Therefore, the potential next three terms after 25 could be 25 + d, 25 + 2d, and 25 + 3d. The specific values of x, y, and z are needed to determine the common difference (d) and find the accurate next terms.

Answer 3

Apologies for the misunderstanding. Based on the equation 25 = 9 + 4d, where d represents the common difference, we can calculate the value of d as 4.

Now, to find the next three terms after 25, we add 4 to each term successively:

25 + 4 = 29
29 + 4 = 33
33 + 4 = 37

Therefore, the next three terms in the arithmetic progression (AP) 9, x, y, z, 25 are 29, 33, and 37.