मराठी

If the Numbers A, 9, B, 25 from an Ap, Find a and B.

Advertisements
Advertisements

प्रश्न

If the numbers a, 9, b, 25 from an AP, find a and b.

Advertisements

उत्तर

It is given that the numbers a,9,b,25from an AP.

∴ 9- a = b-9 = 25-b

So,

b-9=25-b

⇒ 2b = 34 

⇒ b = 17 

Also,

9 - a = b - 9

⇒ a= 18 -b

⇒ a = 18 - 17             (b=17)

⇒ a =1

Hence, the required values of a and b are 1 and 17, respectively.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Arithmetic Progression - Exercises 3

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 5 Arithmetic Progression
Exercises 3 | Q 4

संबंधित प्रश्‍न

If the 3rd and the 9th terms of an AP are 4 and –8 respectively, which term of this AP is zero?


Find the sum given below:

34 + 32 + 30 + ... + 10


If the pth term of an A. P. is `1/q` and qth term is `1/p`, prove that the sum of first pq terms of the A. P. is `((pq+1)/2)`.


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

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


Find the sum of the following arithmetic progressions:

a + b, a − b, a − 3b, ... to 22 terms


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


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


In an A.P. 19th term is 52 and 38th term is 128, find sum of first 56 terms. 


If the 9th term of an A.P. is zero then show that the 29th term is twice the 19th term?


The first and the last terms of an A.P. are 8 and 350 respectively. If its common difference is 9, how many terms are there and what is their sum?


What is the sum of first 10 terms of the A. P. 15,10,5,........?


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


In an A.P., the first term is 22, nth term is −11 and the sum to first n terms is 66. Find n and d, the common difference


If the sum of P terms of an A.P. is q and the sum of q terms is p, then the sum of p + q terms will be


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


If the sum of the first four terms of an AP is 40 and that of the first 14 terms is 280. Find the sum of its first n terms.


The 11th term and the 21st term of an A.P are 16 and 29 respectively, then find the first term, common difference and the 34th term. 


If a = 6 and d = 10, then find S10.


Find the sum of three-digit natural numbers, which are divisible by 4.


Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×