Answer :
The value of x in the sequence is 5.
In the given sequence, each term is obtained by multiplying the previous term by the value of x. To find the value of x, we can examine the relationship between the terms:
1st term: 259
2nd term: 125 (259 * x)
3rd term: 36 (125 * x)
4th term: 625 (36 * x)
5th term: 144 (625 * x)
6th term: 3125 (144 * x)
Now, let's find the value of x by comparing any two consecutive terms in the sequence. For example, we can use the 3rd and 4th terms:
36 * x = 625
To isolate x, divide both sides by 36:
x = 625 / 36
Simplify the fraction:
x = 25 / 2
x = 12.5
So, the value of x is 12.5, meaning that each term in the sequence is obtained by multiplying the previous term by 12.5.
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