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Byju's Answer
Standard X
Mathematics
General Form of an AP
The 24th term...
Question
The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term. [CBSE 2013]
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Solution
Let a be the first term and d be the common difference of the AP. Then,
a
24
=
2
a
10
(Given)
⇒
a
+
23
d
=
2
a
+
9
d
a
n
=
a
+
n
-
1
d
⇒
a
+
23
d
=
2
a
+
18
d
⇒
2
a
-
a
=
23
d
-
18
d
⇒
a
=
5
d
.
.
.
.
.
1
Now,
a
72
a
15
=
a
+
71
d
a
+
14
d
⇒
a
72
a
15
=
5
d
+
71
d
5
d
+
14
d
From
1
⇒
a
72
a
15
=
76
d
19
d
=
4
⇒
a
72
=
4
×
a
15
Hence, the 72nd term of the AP is 4 times its 15th term.
Suggest Corrections
6
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Q.
In a certain
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The 19th term of an AP is equal to 3 times its 6th term. If its 9th term is 19, find the AP. [CBSE 2013]
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the 24th term of an AP is twice is 10th term. Show that its 72nd term is 4 times its 15 the term.
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