1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard X
Mathematics
Common Difference
If k, 2k-...
Question
If
k
,
(
2
k
−
1
)
and
(
2
k
+
1
)
are the three successive terms of an AP, find the value of
k
.
Open in App
Solution
Given,
k
,
(
2
k
−
1
)
and
(
2
k
+
1
)
are the three successive terms of an AP.
So, difference between two consecutive terms is same.
(
2
k
−
1
)
−
k
=
(
2
k
+
1
)
−
(
2
k
−
1
)
2
(
2
k
−
1
)
=
2
k
+
1
+
k
4
k
−
2
=
3
k
+
1
4
k
−
3
k
=
1
+
2
or
k
=
3
The value of
k
is
3
.
Suggest Corrections
0
Similar questions
Q.
If k, (2k- 1) and (2k + 1) are the three successive terms of an AP, find the value of k.
Q.
Very-Short and Short-Answer Questions
If k, (2k − 1) and (2k + 1) are the three successive terms of an AP, find the value of k. [CBSE 2014]
Q.
If k, 2k − 1 and 2k + 1 are three consecutive terms of an A.P., the value of k is
(a) −2
(b) 3
(c) −3
(d) 6
Q.
Very-Short and Short-Answer Questions
If k, (2k − 1) and (2k + 1) are the three successive terms of an AP, find the value of k. [CBSE 2014]
Q.
if k, 2k-1 and 2k+1 are three consecutive terms of an AP, the value of k is?
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
Introduction to AP
MATHEMATICS
Watch in App
Explore more
Common Difference
Standard X Mathematics
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