Algebraic from of an arithmetic sequence is 3n-2. a) what is the common difference? b) write the sequence. c) what is the first three digit term of the sequence?
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Soln:-
a(n) = 3n-2
a(1) = 3(1) -2 = 3-2 = 1
a(2) = 3(2) -2 = 6-2 = 4
a(3) = 3(3) -2 = 9-2 = 7
a(4) = 3(4) -2 = 12-2 = 10
Sequence.. 1, 4, 7, 10,. A. P.
a) Common difference:-
d => t2-t1 = t3-t2
d = 4-1 = 7-4 = 3
d = 3
b) Sequence:-
1, 4, 7, 10,. A. P.
c) The first three digit term of the
sequencee:-
a1 = 1; a2 = 4; a3 = 7
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