what comes next given seires ? 21,27,15,9 _____ in Integers
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Answered by
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Answered by
1
Let's look at the sequence term by term:
a
1
=
9
a
2
=
15
a
3
=
21
Notice that:
a
2
−
a
1
=
6
and
a
3
−
a
2
=
6
We can deduce that:
a
n+1
=
a
n
+
6
We can test this on the
4
t
h
term:
a
4
should equal
21
+
6
=
27
Since this checks out we can say that the sequence is an arithmetic progression with a common diference of 6.
∴
a
5
=
27
+
6
=
33
and
a
6
=
33
+
6
=
39
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