Find term of an arithmetic sequence is 7 and its 10th term is 34. a) what is the common difference? b) write the sequence? c) write the algebraic from of the sequence? b) write the 50th term of the sequence?
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(a) Common difference:-
first term, a = 7
t10 = a+9d = 34
7+9d = 34
d = 3
common difference , d = 3
(b) Sequence:-
Sequence - a, a+d, a+2d, a+3d, ..
a = 7,
a+d = 7+3 = 10
a+2d = 7+2(3) = 7+6 = 13
a+3d = 7+3(3) = 7+9 = 16
Sequence:- 7, 10, 13, 16, ..
(c) The algebraic from of the sequence:-
a, a+d, a+2d, a+3d, ..
7, 10, 13, 16, ..
(d) The 50th term of the sequence:-
t50 = a+(50-1)d
= 7+49(3)
= 7+147
= 154
T50 = 154
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