1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Sequence
A sequence is...
Question
A sequence is defined by
a
n
=
n
2
−
1
n
+
1
. The difference of its 1000th and 900th term is
A
100
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
200
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
300
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
1
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
100
a
n
=
n
2
−
1
n
+
1
=
(
n
+
1
)
(
n
−
1
)
n
+
1
=
n
−
1
a
1000
−
a
900
=
(
1000
−
1
)
−
(
900
−
1
)
=
100