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Byju's Answer
Standard X
Mathematics
Sum of N Terms of an AP
If a1,a2,a3...
Question
If
a
1
,
a
2
,
a
3
,
.
.
.
.
.
.
.
.
.
be in
A
.
P
.
such that
a
1
+
a
5
+
a
10
+
a
15
+
a
20
+
a
24
=
225
, then the sum of first
24
terms of the
A
.
P
is
Open in App
Solution
Given,
a
1
+
a
5
+
a
10
+
a
15
+
a
20
+
a
24
=
225
⇒
a
+
(
a
+
4
d
)
+
(
a
+
9
d
)
+
(
a
+
14
d
)
+
(
a
+
19
d
)
+
(
a
+
23
d
)
=
225
⇒
6
a
+
69
d
=
225
⇒
2
a
+
23
d
=
75
---(1)
Now,
S
n
=
n
2
[
2
a
+
(
n
−
1
)
d
]
S
24
=
24
2
[
2
a
+
(
24
−
1
)
d
]
=
12
×
(
2
a
+
23
d
)
=
12
×
75
...... (from (1))
=
900
Suggest Corrections
0
Similar questions
Q.
The sum of first
24
t
h
terms of the A.P
a
1
,
a
2
,
a
3
.
.
.
.
.
.
.
.
if it is known that
a
1
+
a
5
+
a
10
+
a
15
+
a
20
+
a
24
=
225
, is
Q.
If
a
1
,
a
2
,
a
3
,.... are in A.P. such that
a
1
+
a
5
+
a
10
+
a
15
+
a
20
+
a
24
=
225, then
a
1
+
a
2
+
a
3
+
.
.
.
+
a
23
+
a
24
=
Q.
If
a
1
,
a
2
,
a
3
.
.
.
.
.
are in
A
.
P
.
such that
a
1
+
a
5
+
a
10
+
a
15
+
a
20
+
a
24
=
225
.
Find
a
1
+
a
2
+
a
3
.
.
.
.
.
.
.
.
.
+
a
23
+
a
24
= ?
Q.
Find the sum of first 24 terms of an A.P.
a
1
,
a
2
,
a
3
…
,when
a
1
+
a
5
+
a
10
+
a
15
+
a
20
+
a
24
=
225
is equal to 225
Q.
If
a
1
,
a
2
,
a
3
,
.
.
.
.
are in A.P. such that
a
1
,
a
5
,
a
10
+
a
15
+
a
20
+
a
24
=
225
, then
a
1
+
a
2
+
a
3
+
.
.
.
+
a
24
is equal to
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