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

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. - Algebra

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

संबंधित प्रश्‍न

Find the number of natural numbers between 101 and 999 which are divisible by both 2 and 5.


Find the sum of the following APs.

0.6, 1.7, 2.8, …….., to 100 terms. 


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


Find the sum of all integers between 100 and 550, which are divisible by 9.


Find the sum of all 3-digit natural numbers, which are multiples of 11.


Which term of the AP ` 5/6 , 1 , 1 1/6 , 1 1/3` , ................ is 3 ?


How many three-digit numbers are divisible by 9?


Find the value of x for which the numbers (5x + 2), (4x - 1) and (x + 2) are in AP.


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


If the sum of first p terms of an AP is 2 (ap2  +  bp), find its common difference.


The 9th term of an A.P. is equal to 6 times its second term. If its 5th term is 22, find the A.P.


The sum of first n terms of an A.P. is 5n − n2. Find the nth term of this A.P.

 

The first and last terms of an A.P. are 1 and 11. If the sum of its terms is 36, then the number of terms will be


Suppose the angles of a triangle are (a − d), a , (a + d) such that , (a + d)  >a >  (a − d).


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


Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4.


In an A.P., if Sn = 3n2 + 5n and ak = 164, find the value of k.


Complete the following activity to find the 19th term of an A.P. 7, 13, 19, 25, ........ :

Activity: 

Given A.P. : 7, 13, 19, 25, ..........

Here first term a = 7; t19 = ?

tn + a + `(square)`d .........(formula)

∴ t19 = 7 + (19 – 1) `square`

∴ t19 = 7 + `square`

∴ t19 = `square`


Which term of the Arithmetic Progression (A.P.) 15, 30, 45, 60...... is 300?

Hence find the sum of all the terms of the Arithmetic Progression (A.P.)


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×