The explicit form of the sequence is an = 100n - 88
Recursive functions
Given the recursive functions shown;
an=an−1+100
a1=−12
The first term = 12
a2 = a1 + 100
a2 = 12 + 100
a2 = 112
The required sequence is 12, 112...
Common difference = 112 - 12
Common difference = 100
The explicit form of the sequence is given as:
an = a + (n-1)d
an = 12 + (n-1)(100)
an = 12 + 100n -100
an = 100n - 88
Hence the explicit form of the sequence is an = 100n - 88
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