मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

There Are 25 Rows of Seats in an Auditorium. the First Row is of 20 Seats, the Second of 22 Seats, the Third of 24 Seats, and So On. How Many Chairs Are There in the 21st Row ? - Algebra

Advertisements
Advertisements

प्रश्न

There are 25 rows of seats in an auditorium. The first row is of 20 seats, the second of 22 seats, the third of 24 seats, and so on. How many chairs are there in the 21st row ?

Advertisements

उत्तर

The arrangement of chairs is 20, 22, 24, 26, ..........
Which  is an A. P.
Here, a = 20, d = 2. We want to find t21
tn = a + (n-1)d
∴ t21 = 20 + (21-1) × 2
          = 20 + 40
          = 60
∴  There are 60 chairs in the 21st row. 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2018-2019 (March) Balbharati Model Question Paper Set 1

संबंधित प्रश्‍न

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


The first and the last terms of an AP are 8 and 65 respectively. If the sum of all its terms is 730, find its common difference.


The first and last terms of an AP are 17 and 350, respectively. If the common difference is 9, how many terms are there, and what is their sum?


Find the sum of the first 25 terms of an A.P. whose nth term is given by a= 7 − 3n


If the 12th term of an A.P. is −13 and the sum of the first four terms is 24, what is the sum of first 10 terms?


Find the sum of the first 11 terms of the A.P : 2, 6, 10, 14, ...


Find the sum of all 3 - digit natural numbers which are divisible by 13.


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


The 9th term of an AP is -32 and the sum of its 11th and 13th terms is -94. Find the common difference of the AP. 


A sum of ₹2800 is to be used to award four prizes. If each prize after the first is ₹200 less than the preceding prize, find the value of each of the prizes


What is the 5th  term form the end of the AP 2, 7, 12, …., 47?


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?


The sum of the first 7 terms of an A.P. is 63 and the sum of its next 7 terms is 161. Find the 28th term of this A.P.


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 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.


Find the sum of the first 10 multiples of 6.


How many terms of the A.P. 24, 21, 18, … must be taken so that the sum is 78? Explain the double answer.


The sum of the first 2n terms of the AP: 2, 5, 8, …. is equal to sum of the first n terms of the AP: 57, 59, 61, … then n is equal to ______.


The sum of first 16 terms of the AP: 10, 6, 2,... is ______.


The nth term of an A.P. is 6n + 4. The sum of its first 2 terms is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×