CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Arithmetic Progression

For what valu...

Question

For what value of k the terms k+1, 3k and 4k+2 are in arithmetic progression.

Open in App

Solution

if the series is in AP, Automatically,the common difference will be the same
therefore,
3k-(k+1)=4k+2-3k
2k-1=k+2
so,k=3

Suggest Corrections

thumbs-up

36

Similar questions

(k + 1), 3 k, (4 k + 2)

are three consecutive terms of an AP, then k = ?
(a) 0
(b) 1
(c) 2
(d) 3

For what value of n, the nth terms of the arithmetic progression 63, 65, 67,... and 3, 10, 17,.. are equal?

Q. For what value of k will the consecutive terms 2k + 1, 3k + 3 and 5k − 1 form an A.P.?

k^{t h}

term of the arithmetic progression 25, 50,75, 100,

\dots \dots

is 1000, then find the value of k.

Q. For each positive integer

K

S_{k}

denotes the increasing arithmetic progression of positive integers whose first term is

1

and whose common difference is

K

S_{3}

is the sequence

1, 4, 7, 10, . . . . .

For how many values of

K

S_{k}

contains the term

2004

?

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Arithmetic Progression

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Arithmetic Progression

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon