हिंदी

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

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Arithmetic Progression - Exercises 3

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 11 Arithmetic Progression
Exercises 3 | Q 4

संबंधित प्रश्न

How many terms of the A.P. 65, 60, 55, .... be taken so that their sum is zero?


In an AP, given a = 7, a13 = 35, find d and S13.


Find the sum of the following arithmetic progressions:

41, 36, 31, ... to 12 terms


Find the sum of the first 15 terms of each of the following sequences having the nth term as

bn = 5 + 2n


Find the sum of first 12 natural numbers each of which is a multiple of 7.


How many terms of the AP 63, 60, 57, 54, ….. must be taken so that their sum is 693? Explain the double answer.


The next term of the A.P. \[\sqrt{7}, \sqrt{28}, \sqrt{63}\] is ______.


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

5, 1, –3, –7, ...


In an A.P. the first term is 8, nth term is 33 and the sum to first n terms is 123. Find n and d, the common differences.


The sum of the first n terms of an A.P. is 3n2 + 6n. Find the nth term of this A.P.


Write the value of x for which 2xx + 10 and 3x + 2 are in A.P.

 

Which term of the  AP  3, 15, 27, 39, ...... will be 120 more than its 21st term?


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. 


Find whether 55 is a term of the A.P. 7, 10, 13,... or not. If yes, find which term is it.


The sum of first six terms of an arithmetic progression is 42. The ratio of the 10th term to the 30th term is `(1)/(3)`. Calculate the first and the thirteenth term.


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


In an AP, if Sn = n(4n + 1), find the AP.


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.

The 5th term and the 9th term of an Arithmetic Progression are 4 and – 12 respectively.

Find:

  1. the first term
  2. common difference
  3. sum of 16 terms of the AP.

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×