हिंदी

The First Term of an A. P. is 5 and the Common Difference is 4. Complete the Following Activity and Find the Sum of the First 12 Terms of the A. P.

Advertisements
Advertisements

प्रश्न

The first term of an A. P. is 5 and the common difference is 4. Complete the following activity and find the sum of the first 12 terms of the A. P.

a = 5, d = 4, s12 = ?
`s_n = n/2 [ square ]`
`s_12 = 12/2 [10 +square]`
         `= 6 × square  `
         ` =square`

Advertisements

उत्तर


`s_n = n/2 [ 2a +(n-1)d ]`


`s_12 = 12/2 [10 + 11 xx 4 ]`

         ` =12/2[10+44]`
         `= 6 ×54  `
         ` s_n= 324`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
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?


Find the sum given below:

–5 + (–8) + (–11) + ... + (–230)


200 logs are stacked in the following manner: 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on. In how many rows are the 200 logs placed, and how many logs are in the top row?


Find the sum of the first 25 terms of an A.P. whose nth term is given by an = 2 − 3n.


Find the sum of first 12 natural numbers each of which is a multiple of 7.


If the numbers (2n – 1), (3n+2) and (6n -1) are in AP, find the value of n and the numbers


First term and the common differences of an A.P. are 6 and 3 respectively; find S27.

Solution: First term = a = 6, common difference = d = 3, S27 = ?

Sn = `"n"/2 [square + ("n" - 1)"d"]` - Formula

Sn = `27/2 [12 + (27 - 1)square]`

= `27/2 xx square`

= 27 × 45

S27 = `square`


Sum of 1 to n natural numbers is 36, then find the value of n.


The 19th term of an A.P. is equal to three times its sixth term. If its 9th term is 19, find the A.P.


Find the sum of the first 15 terms of each of the following sequences having nth term as  xn = 6 − n .


A man is employed to count Rs 10710. He counts at the rate of Rs 180 per minute for half an hour. After this he counts at the rate of Rs 3 less every minute than the preceding minute. Find the time taken by him to count the entire amount.


If the sum of n terms of an A.P. is 3n2 + 5n then which of its terms is 164?


Q.1


Q.18


If the second term and the fourth term of an A.P. are 12 and 20 respectively, then find the sum of first 25 terms:


The 11th term and the 21st term of an A.P are 16 and 29 respectively, then find the first term, common difference and the 34th term. 


If an = 3 – 4n, show that a1, a2, a3,... form an AP. Also find S20.


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 sum of n terms of an A.P. is 3n2. The second term of this A.P. is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×