The sequence a1,a2,a3,... satisfies a1 =19,a9=99,
and,for all n≥3,an is the arithmetic mean of the first n-1 terms. Find a2.
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Step-by-step explanation:
a1=19
a9=99
a+8d=99
19+8d=99
8d=99-19=80
d=10
a2=a1+d
=19+10
=29
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