English
Maharashtra State BoardSSC (English Medium) 10th Standard

Find S_10 if a = 6 and d = 3.

Advertisements
Advertisements

Question

Find S10 if a = 6 and d = 3.

Sum
Advertisements

Solution

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
  Is there an error in this question or solution?
Chapter 3: Arithmetic Progression - Q.3 (B)

RELATED QUESTIONS

A spiral is made up of successive semicircles, with centres alternately at A and B, starting with centre at A of radii 0.5, 1.0 cm, 1.5 cm, 2.0 cm, .... as shown in figure. What is the total length of such a spiral made up of thirteen consecutive semicircles? (Take `pi = 22/7`)

[Hint: Length of successive semicircles is l1, l2, l3, l4, ... with centres at A, B, A, B, ...  respectively.]


Find the sum of first 8 multiples of 3.


Find the sum of the first 11 terms of the A.P : 2, 6, 10, 14, ...


Determine the A.P. Whose 3rd term is 16 and the 7th term exceeds the 5th term by 12.


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


Which term of the AP 3,8, 13,18,…. Will be 55 more than its 20th term?


Find the common difference of an AP whose first term is 5 and the sum of its first four terms is half the sum of the next four terms.


A sum of ₹ 2800 is to be used to award four prizes. If each prize after the first is ₹ 200 less than the preceding prize, find the value of each of the prizes.


Find the sum of first n even natural numbers.


Find the sum of all natural numbers between 200 and 400 which are divisible by 7.


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


If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is 


If k, 2k − 1 and 2k + 1 are three consecutive terms of an A.P., the value of k is


For an A.P., if t1 = 1 and tn = 149, then find Sn.

Activitry :- Here t1= 1, tn = 149, Sn = ?

Sn = `n/2 (square + square)`

= `n/2 xx  square`

= `square` n, where n = 75


The sum of the first 15 multiples of 8 is ______.


If the nth term of an AP is (2n + 1), then the sum of its first three terms is ______.


If the first term of an AP is –5 and the common difference is 2, then the sum of the first 6 terms is ______.


If sum of first 6 terms of an AP is 36 and that of the first 16 terms is 256, find the sum of first 10 terms.


Sum of 1 to n natural number is 45, then find the value of n.


The nth term of an Arithmetic Progression (A.P.) is given by the relation Tn = 6(7 – n)..

Find:

  1. its first term and common difference
  2. sum of its first 25 terms

Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×