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Byju's Answer
Standard X
Mathematics
Common Difference
determine 2nd...
Question
determine 2nd term and rth term of an A.P whose 6th term is 12 and 8th term is 22.
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Solution
Let
a
be
first
term
and
d
be
c
.
d
.
of
an
AP
.
Now
,
a
6
=
12
⇒
a
+
6
-
1
d
=
12
⇒
a
+
5
d
=
12
.
.
.
.
.
1
And
a
8
=
22
⇒
a
+
8
-
1
d
=
22
⇒
a
+
7
d
=
22
.
.
.
.
.
2
a
+
7
d
-
a
+
5
d
=
22
-
12
⇒
2
d
=
10
⇒
d
=
5
Putting
d
=
5
in
1
,
we
get
a
+
5
×
5
=
12
⇒
a
=
-
13
∴
a
2
=
-
13
+
2
-
1
5
=
-
13
+
5
=
-
8
And
a
r
=
-
13
+
r
-
1
5
=
-
13
+
5
r
-
5
=
5
r
-
18
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Similar questions
Q.
Find the second term and
n
t
h
term of an AP whose
6
t
h
term is
12
and
8
t
h
term is
22.
Q.
Find the second term and n
th
term of an A.P. whose 6
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th
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