Answer:
x = 3
Step-by-step explanation:
Given the sequence x, 7, 11, 15, ... 399, where 399 is the 100th term, you want to know the first term, x.
The differences of the first few terms are ...
11 -7 = 4
15 -11 = 4
This suggests an arithmetic sequence with a common difference of 4.
The first term, x, will be 4 less than the second term:
x +4 = 7
x = 7 -4 = 3
The value of x is 3.
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Check
The n-th term of an arithmetic sequence with first term a1 = 3 and common difference d = 4 is ...
an = a1 +d(n -1)
an = 3 +4(n -1) = 4n -1
Then the 100th term is ...
a100 = 4(100) -1 = 399 . . . . consistent with the given information