हिंदी

Find Four Numbers in Ap Whose Sum is 8 and the Sum of Whose Squares is 216. - Mathematics

Advertisements
Advertisements

प्रश्न

Find four numbers in AP whose sum is 8 and the sum of whose squares is 216.

Advertisements

उत्तर

(4, 6, 8, 10) or (10, 8, 6, 4)

 

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Arithmetic Progression - Exercises 2

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 11 Arithmetic Progression
Exercises 2 | Q 11

संबंधित प्रश्न

Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.


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


In a school, students thought of planting 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 the same as the class, in which they are studying, e.g., a section of class I will plant 1 tree, a section of class II will plant 2 trees, and so on till class XII. There are three sections of each class. How many trees will be planted by the students?


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


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.


The first and the last terms of an A.P. are 34 and 700 respectively. If the common difference is 18, how many terms are there and what is their sum?


The fourth term of an A.P. is 11 and the eighth term exceeds twice the fourth term by 5. Find the A.P. and the sum of first 50 terms.


Find the middle term of the AP 10, 7, 4, ……., (-62).


The sequence −10, −6, −2, 2, ... is ______.


The sum of first n odd natural numbers is ______.


If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is 


Q.5 


The sum of first 14 terms of an A.P. is 1050 and its 14th term is 140. Find the 20th term.


Find the sum of all members from 50 to 250 which divisible by 6 and find t13.


How many terms of the A.P. 27, 24, 21, …, should be taken so that their sum is zero?


If Sn denotes the sum of first n terms of an AP, prove that S12 = 3(S8 – S4)


How many terms of the AP: –15, –13, –11,... are needed to make the sum –55? Explain the reason for double answer.


Find the sum of the integers between 100 and 200 that are not divisible by 9.


Find the sum of first 16 terms of the A.P. whose nth term is given by an = 5n – 3.


Rohan repays his total loan of ₹ 1,18,000 by paying every month starting with the first installment of ₹ 1,000. If he increases the installment by ₹ 100 every month, what amount will be paid by him in the 30th installment? What amount of loan has he paid after 30th installment?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×