मराठी

If (2p +1), 13, (5p -3) Are in Ap, Find the Value of P. - Mathematics

Advertisements
Advertisements

प्रश्न

If (2p +1), 13, (5p -3) are in AP, find the value of p.

Advertisements

उत्तर

Let (2p +1),13,(5p -3) be three consecutive terms of an AP.

Then 13-(2p +1) = (5p -3 )-13

⇒ 7p = 28

⇒ p= 4

∴ When p = 4,(2p +1) ,13 and (5p- 3) from three consecutive terms of an AP .

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 11: Arithmetic Progression - Exercises 3

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 11 Arithmetic Progression
Exercises 3 | Q 21

संबंधित प्रश्‍न

The ratio of the sum use of n terms of two A.P.’s is (7n + 1) : (4n + 27). Find the ratio of their mth terms


The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.


Show that a1, a2,..., an... form an AP where an is defined as below:

an = 3 + 4n

Also, find the sum of the first 15 terms.


A contract on a construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc., the penalty for each succeeding day being Rs. 50 more than for the preceding day. How much money does the contractor have to pay as a penalty  if he has delayed the work by 30 days.


Which term of the progression 20, 19`1/4`,18`1/2`,17`3/4`, ... is the first negative term?


Find the 12th term from the end of the following arithmetic progressions:

3, 5, 7, 9, ... 201


The sum of three terms of an A.P. is 21 and the product of the first and the third terms exceed the second term by 6, find three terms.


Find the sum of all odd numbers between 100 and 200.


How many numbers are there between 101 and 999, which are divisible by both 2 and 5?


Find the 25th term of the AP \[- 5, \frac{- 5}{2}, 0, \frac{5}{2}, . . .\]

 


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

a = –7, d = `1/2`

Find the first term and common difference for the following A.P.:

5, 1, –3, –7, ...


Find the sum of all even numbers between 1 and 350.

The sequence −10, −6, −2, 2, ... is ______.


Choose the correct alternative answer for  the following question .

15, 10, 5,... In this A.P sum of first 10 terms is...


The first term of an A.P. is p and its common difference is q. Find its 10th term.

 

In an A.P. a = 2 and d = 3, then find S12


Find the sum of odd natural numbers from 1 to 101


Read the following passage:

India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year.

  1. In which year, the production is 29,200 sets?
  2. Find the production in the 8th year.
    OR
    Find the production in first 3 years.
  3. Find the difference of the production in 7th year and 4th year.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×