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Byju's Answer
Standard X
Mathematics
General Form of an AP
Find the numb...
Question
Find the number of terms in the following
A
.
P
.
7
,
13
,
19
,
.
.
.
.
,
205
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Solution
Let
a
,
d
and
l
be the first term, common difference and the last term of the A.P. respectively.
Given
a
=
7
,
d
=
13
−
7
=
6
and
l
=
205
Since
l
=
a
+
(
n
−
1
)
d
⇒
205
=
7
+
(
n
−
1
)
6
⇒
198
=
(
n
−
1
)
6
⇒
33
=
n
−
1
⇒
n
=
34
Hence, there are
34
terms in the A.P.
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5
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