A recursive rule for an arithmetic sequence is a1 = -4; an = an - 1 + 11
1 answer:
Step-by-step explanation:
a1 is already defined : a1 = -4
since an = an-1 + 11, we know d (the constant being added from term to term) is 11.
d = 11
the basic iterative rule is also already defined :
an = an-1 + 11
but we can always also express this in terms of a1 :
an = a1 + 11×(n-1)
therefore,
a10 = -4 + 11×9 = -4 + 99 = 95
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