हिंदी

If 18, A, (B - 3) Are in Ap, Then Find the Value of (2a – B)

Advertisements
Advertisements

प्रश्न

If 18, a, (b - 3) are in AP, then find the value of (2a – b)

Advertisements

उत्तर

It is given that 18, a,(b-3) are in AP.

∴ a-18 = (b-3) -a

⇒ a+a-b = 18-3

⇒ 2a -b = 15

Hence, the required value is 15.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Arithmetic Progression - Exercises 3

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
Exercises 3 | Q 3

संबंधित प्रश्न

How many multiples of 4 lie between 10 and 250?


In an AP given l = 28, S = 144, and there are total 9 terms. Find a.


Find the sum of the first 40 positive integers divisible by 3


The first term of an A.P. is 5, the last term is 45 and the sum of its terms is 1000. Find the number of terms and the common difference of the A.P.


Find the sum of all natural numbers between 250 and 1000 which are divisible by 9.


Which term of the AP 21, 18, 15, …… is -81?


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


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


Find an AP whose 4th  term is 9 and the sum of its 6th and 13th terms is 40. 


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

a = –7, d = `1/2`

The A.P. in which 4th term is –15 and 9th term is –30. Find the sum of the first 10 numbers.


If the common differences of an A.P. is 3, then a20 − a15 is 


Write the nth term of an A.P. the sum of whose n terms is Sn.

 

The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be


The common difference of the A.P. \[\frac{1}{2b}, \frac{1 - 6b}{2b}, \frac{1 - 12b}{2b}, . . .\] is 

 

Q.12


Q.18


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:


Determine the sum of first 100 terms of given A.P. 12, 14, 16, 18, 20,......

Activity :- Here, a = 12, d = `square`, n = 100, S100 = ?

Sn = `"n"/2 [square + ("n" - 1)"d"]`

S100 = `square/2 [24 + (100 - 1)"d"]`

= `50(24  +  square)`

= `square`

= `square`


If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×