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

If a = 6 and d = 10, then find S_10.

Advertisements
Advertisements

प्रश्न

If a = 6 and d = 10, then find S10.

बेरीज
Advertisements

उत्तर

a = 6 and d = 10   ...[Given]

Since `S_n = n/2[2a + (n - 1)d]`,

`S_10 = 10/2 [2(6) + (10 - 1)(10)]`

= 5[12 + 9(10)]

= 5(12 + 90)

= 5(102)

= 510

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Arithmetic Progression - Q.2 (B)

संबंधित प्रश्‍न

The first and the last terms of an AP are 7 and 49 respectively. If sum of all its terms is 420, find its common difference.


Find the sum of the following APs:

2, 7, 12, ..., to 10 terms.


In an AP given a3 = 15, S10 = 125, find d and a10.


Find the sum of the following arithmetic progressions:

41, 36, 31, ... to 12 terms


How many terms are there in the A.P. whose first and fifth terms are −14 and 2 respectively and the sum of the terms is 40?


Find the sum of all integers between 84 and 719, which are multiples of 5.


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


Find the sum of the first 22 terms of the A.P. : 8, 3, –2, ………


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 fourth term of an A.P. is 11. The sum of the fifth and seventh terms of the A.P. is 34. Find its common difference.


Find the first term and common difference for  the A.P.

127, 135, 143, 151,...


Choose the correct alternative answer for  the following question . 

In an A.P. first two terms are –3, 4 then 21st term 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.


If the 10th term of an A.P. is 21 and the sum of its first 10 terms is 120, find its nth term.

 

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

 

Q.6


Q.17 


Which term of the  AP  3, 15, 27, 39, ...... will be 120 more than its 21st term?


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


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×