हिंदी

Find S_10 if a = 6 and d = 3.

Advertisements
Advertisements

प्रश्न

Find S10 if a = 6 and d = 3.

योग
Advertisements

उत्तर

a = 6 and d = 3   ...[Given]

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

`S_10 = 10/2[2(6) + (10 - 1)(3)]`

= 5[12 + 9(3)]

= 5(12 + 27)

= 5(39)

= 195

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Arithmetic Progression - Q.3 (B)

संबंधित प्रश्न

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


Find the sum of all natural numbers between 250 and 1000 which are exactly divisible by 3


Show that a1, a2,..., an... form an AP where an is defined as below:

an = 3 + 4n

Also, find the sum of the first 15 terms.


Which term of the A.P. 121, 117, 113, ... is its first negative term?

[Hint: Find n for an < 0]


The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of first sixteen terms of the AP.


Which term of the progression 20, 19`1/4`,18`1/2`,17`3/4`, ... is the first negative term?


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


If the 8th term of an A.P. is 37 and the 15th term is 15 more than the 12th term, find the A.P. Also, find the sum of first 20 terms of A.P.


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. 


The sum of the first n terms of an AP is given by Sn = (3n2 – 4n). Find its

  1. nth term,
  2. first term and
  3. common difference.

The A.P. in which 4th term is –15 and 9th term is –30. Find the sum of the first 10 numbers.


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


The 9th term of an A.P. is 449 and 449th term is 9. The term which is equal to zero is


The sum of first n terms of an A.P. whose first term is 8 and the common difference is 20 equal to the sum of first 2n terms of another A.P. whose first term is – 30 and the common difference is 8. Find n.


If the sum of first n terms of an AP is An + Bn² where A and B are constants. The common difference of AP will be ______.


The sum of the first five terms of an AP and the sum of the first seven terms of the same AP is 167. If the sum of the first ten terms of this AP is 235, find the sum of its first twenty terms.


If Sn denotes the sum of first n terms of an AP, prove that S12 = 3(S8 – S4)


How many terms of the AP: –15, –13, –11,... are needed to make the sum –55? Explain the reason for double answer.


Solve the equation

– 4 + (–1) + 2 + ... + x = 437


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×