हिंदी

The First Term of an Ap is P and Its Common Difference is Q. Find Its 10th Term. - Mathematics

Advertisements
Advertisements

प्रश्न

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

Advertisements

उत्तर

Here , a= p and d= q

Now , T = a +(n-1)d

⇒ T= p + (n-1) q

∴ T10 = p + 9q 

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 19

संबंधित प्रश्न

If the sum of the first n terms of an A.P. is `1/2`(3n2 +7n), then find its nth term. Hence write its 20th term.


In an AP given a3 = 15, S10 = 125, find d and a10.


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

an = 9 − 5n

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 sum of the first 51 terms of the A.P: whose second term is 2 and the fourth term is 8.


How many three-digit numbers are divisible by 9?


How many terms of the AP `20, 19 1/3 , 18 2/3, ...` must be taken so that their sum is 300? Explain the double answer.


If the ratio of sum of the first m and n terms of an AP is m2 : n2, show that the ratio of its  mth and nth terms is (2m − 1) : (2n − 1) ?


Choose the correct alternative answer for  the following question .

 In an A.P. 1st term is 1 and the last term is 20. The sum of all terms is = 399 then n = ....


If the sum of n terms of an A.P. is 2n2 + 5n, then its nth term is


If the first, second and last term of an A.P. are ab and 2a respectively, its sum is


The number of terms of the A.P. 3, 7, 11, 15, ... to be taken so that the sum is 406 is


The sum of the first three terms of an Arithmetic Progression (A.P.) is 42 and the product of the first and third term is 52. Find the first term and the common difference.


Find the value of x, when in the A.P. given below 2 + 6 + 10 + ... + x = 1800.


First four terms of the sequence an = 2n + 3 are ______.


In an AP if a = 1, an = 20 and Sn = 399, then n is ______.


The sum of first five multiples of 3 is ______.


Find the sum of last ten terms of the AP: 8, 10, 12,.., 126.


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×