मराठी

If K, 2k − 1 and 2k + 1 Are Three Consecutive Terms of an A.P., the Value of K is

Advertisements
Advertisements

प्रश्न

If k, 2k − 1 and 2k + 1 are three consecutive terms of an A.P., the value of k is

पर्याय

  •  −2

  • 3

  • - 3 

  • 6

MCQ
Advertisements

उत्तर

Since, k, 2k − 1 and 2k + 1 are three consecutive terms of an A.P.

Then, Second term − First term = Third term − Second term = d (common difference)
⇒ 2k − 1 − k = 2k + 1 − (2k − 1)
⇒ k − 1 = 2k + 1 − 2k + 1
⇒ k − 1 = 2
⇒ k = 2 + 1
⇒ k = 3

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

संबंधित प्रश्‍न

How many terms of the A.P. 18, 16, 14, .... be taken so that their sum is zero?


Which term of the AP 3,8, 13,18,…. Will be 55 more than its 20th term?


Determine the nth term of the AP whose 7th term is –1 and 16th term is 17.


The 24th term of an AP is twice its 10th term. Show that its 72nd term is 4 times its 15th term.


Find the three numbers in AP whose sum is 15 and product is 80.

 


How many terms of the A.P. 21, 18, 15, ... must be added to get the sum 0?


Find the sum of all natural numbers between 200 and 400 which are divisible by 7.


Write an A.P. whose first term is a and the common difference is d in the following.

a = 10, d = 5 


Sum of n terms of the series  `sqrt2+sqrt8+sqrt18+sqrt32+....` is ______.


The common difference of an A.P., the sum of whose n terms is Sn, is


If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is 


x is nth term of the given A.P. an = x find x .


Q.6


If the second term and the fourth term of an A.P. are 12 and 20 respectively, then find the sum of first 25 terms:


How many terms of the A.P. 27, 24, 21, ..., should be taken so that their sum is zero?


The sum of first ten natural number is ______.


The sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. If the sum of the first ten terms of this AP is 235, find the sum of its first twenty terms.


The sum of first five multiples of 3 is ______.


Assertion (A): a, b, c are in A.P. if and only if 2b = a + c.

Reason (R): The sum of first n odd natural numbers is n2.


k + 2, 2k + 7 and 4k + 12 are the first three terms of an A.P. The first term of this A.P. is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×