हिंदी

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

Advertisements
Advertisements

प्रश्न

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

 
योग
Advertisements

उत्तर

Here, we are given,

First term (a) = p

Common difference (d) = q

 

We need to find the 10th term (an).

As we know,

an = a + (n - 1) d

So, for 10th term (= 10), we get,

a10 = p + ( 10 - 1 ) q

       = p + 9q 

Therefore,  a10 = p + 9q

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Arithmetic Progression - Exercise 5.7 [पृष्ठ ५६]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 10
अध्याय 5 Arithmetic Progression
Exercise 5.7 | Q 12 | पृष्ठ ५६

संबंधित प्रश्न

Find the sum of all even integers between 101 and 999.


Find the sum of the first 13 terms of the A.P: -6, 0, 6, 12,....


In an A.P., the sum of first n terms is `(3n^2)/2 + 13/2 n`. Find its 25th term.


The sum of n natural numbers is 5n2 + 4n. Find its 8th term.


If the 10th  term of an AP is 52 and 17th  term is 20 more than its 13th  term, find the AP


The 8th term of an AP is zero. Prove that its 38th term is triple its 18th term.  


The first and last terms of an AP are a and l respectively. Show that the sum of the nth term from the beginning and the nth term form the end is ( a + l ).


The first three terms of an AP are respectively (3y – 1), (3y + 5) and (5y + 1), find the value of y .


If a denotes the nth term of the AP 2, 7, 12, 17, … find the value of (a30 - a20 ).


The sum of the first n terms of an AP is given by  `s_n = ( 3n^2 - n) ` Find its

(i) nth term,
(ii) first term and
(iii) common difference.

 


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

`1/4,3/4,5/4,7/4,...`


If m times the mth term of an A.P. is eqaul to n times nth term then show that the (m + n)th term of the A.P. is zero.


Find the sum:  1 + 3 + 5 + 7 + ... + 199 .


In a school, students decided to plant trees in and around the school to reduce air pollution. It was decided that the number of trees, that each section of each class will plant, will be double of the class in which they are studying. If there are 1 to 12 classes in the school and each class has two sections, find how many trees were planted by the students.


Q.18


Obtain the sum of the first 56 terms of an A.P. whose 18th and 39th terms are 52 and 148 respectively.


Find the sum of odd natural numbers from 1 to 101


The first term of an AP of consecutive integers is p2 + 1. The sum of 2p + 1 terms of this AP is ______.


Jaspal Singh repays his total loan of Rs. 118000 by paying every month starting with the first instalment of Rs. 1000. If he increases the instalment by Rs. 100 every month, what amount will be paid by him in the 30th instalment? What amount of loan does he still have to pay after the 30th instalment?


The nth term of an Arithmetic Progression (A.P.) is given by the relation Tn = 6(7 – n)..

Find:

  1. its first term and common difference
  2. sum of its first 25 terms

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×