मराठी

Find the Sum of the Following Aps: I) 2, 7, 12, 17, ……. to 19 Terms .

Advertisements
Advertisements

प्रश्न

Find the sum of the following Aps:

i) 2, 7, 12, 17, ……. to 19 terms . 

Advertisements

उत्तर

The given AP is 2, 7, 12, 17,………
Here, a= 2 and d = 7 - 2 = 5
Using the formula . `s_n = n/2 [ 2a + (n-1) d] ,`we have

`s_19 = 19/2 [ 2xx2 +(19-1) xx5]`

`= 19/2 xx (4+ 90)`

`= 19/2 xx 94`

= 893

 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Arithmetic Progression - Exercises 4

APPEARS IN

आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 5 Arithmetic Progression
Exercises 4 | Q 1.1

संबंधित प्रश्‍न

If the term of m terms of an A.P. is the same as the sum of its n terms, show that the sum of its (m + n) terms is zero


Find the sum of first n odd natural numbers


In an A.P., if the first term is 22, the common difference is −4 and the sum to n terms is 64,  find n.


Find the sum of the first 40 positive integers divisible by 3


Find the sum of two middle most terms of the AP `-4/3, -1 (-2)/3,..., 4 1/3.`


If k,(2k - 1) and (2k - 1) are the three successive terms of an AP, find the value of k.


The sum of the first n terms of an AP in `((5n^2)/2 + (3n)/2)`.Find its nth term and the 20th term of this AP.


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.


Find the sum of all multiples of 9 lying between 300 and 700.


For an given A.P., t7 = 4, d = −4, then a = ______.


Choose the correct alternative answer for  the following question .

15, 10, 5,... In this A.P sum of first 10 terms is...


There are 37 terms in an A.P., the sum of three terms placed exactly at the middle is 225 and the sum of last three terms is 429. Write the A.P.


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 ?


Find the sum of n terms of the series \[\left( 4 - \frac{1}{n} \right) + \left( 4 - \frac{2}{n} \right) + \left( 4 - \frac{3}{n} \right) + . . . . . . . . . .\]


If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273, then the third term is


If \[\frac{1}{x + 2}, \frac{1}{x + 3}, \frac{1}{x + 5}\]  are in A.P. Then, x =


If the first term of an A.P. is a and nth term is b, then its common difference is


Shubhankar invested in a national savings certificate scheme. In the first year he invested ₹ 500, in the second year ₹ 700, in the third year ₹ 900 and so on. Find the total amount that he invested in 12 years.


Find the sum:

`(a - b)/(a + b) + (3a - 2b)/(a + b) + (5a - 3b)/(a + b) +` ... to 11 terms


Find the sum of first 20 terms of an A.P. whose nth term is given as an = 5 – 2n.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×