1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Other
Quantitative Aptitude
Sum of Consecutive Numbers (Not Starting from 1)
Find the nt...
Question
Find the
n
t
h
term and the sum of n terms of the series
8
,
26
,
54
,
92
,
140
,
198
,
.
.
.
.
Open in App
Solution
$
To find the
n
t
h
term of the sequence we have to look upon the sucessive difference of the series
8
,
26
,
54
,
92
,
140.....
18
,
28
,
38
,
48.....
10
,
10
,
10.....
Let
u
n
=
A
+
B
n
+
C
n
2
For
n
=
1
u
1
=
8
⇒
A
+
B
+
C
=
8.....
(
i
)
For
n
=
2
u
2
=
26
⇒
A
+
2
B
+
4
C
=
26.....
(
i
i
)
For
n
=
3
u
3
=
54
⇒
A
+
3
B
+
9
C
=
54.....
(
i
i
)
Solving
(
i
)
,
(
i
i
)
and
(
i
i
i
)
⇒
A
=
0
,
B
=
3
,
C
=
5
⇒
u
n
=
3
n
+
5
n
2
S
n
=
∑
u
n
⇒
S
n
=
3
∑
n
+
5
∑
n
2
⇒
S
n
=
3
[
n
(
n
+
1
)
2
]
+
5
[
n
(
n
+
1
)
(
2
n
+
1
)
6
]
⇒
S
n
=
n
(
n
+
1
)
(
5
n
+
7
)
3
Suggest Corrections
0
Similar questions
Q.
Find the
n
t
h
term and the sum of n terms of the series
2
,
12
,
36
,
80
,
150
,
252
,
.
.
.
.
Q.
Find the
n
t
h
term and the sum of n terms of the series
30
,
144
,
420
,
960
,
1890
,
3360
,
.
.
.
.
Q.
Find the
n
t
h
term and sum of
n
terms of the series
2
+
4
+
7
+
11
+
16
+
.
.
.
.
Q.
Find the
n
t
h
term and the sum of n terms of the series
8
,
16
,
0
,
−
64
,
−
200
,
−
432
,
.
.
.
.
Q.
Find the sum of
n
terms of the series whose
n
t
h
term is :
3
n
2
−
n
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Sum of Numbers and Last Digits
QUANTITATIVE APTITUDE
Watch in App
Explore more
Sum of Consecutive Numbers (Not Starting from 1)
Other Quantitative Aptitude
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app