English
Maharashtra State BoardSSC (English Medium) 10th Standard

Write an A.P. Whose First Term is a and Common Difference is D In the Following. A = 10, D = 5 - Algebra Mathematics 1

Advertisements
Advertisements

Question

Write an A.P. whose first term is a and the common difference is d in the following.

a = 10, d = 5 

Sum
Advertisements

Solution

a = 10, d = 5
First term = a = 10
Second term = a + d = 10 + 5 = 15 
Third term = a + 2d = 10 + 10 = 20
and so on...
Hence, the required A.P. is 10, 15, 20,...

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Arithmetic Progression - Practice Set 3.1 [Page 61]

APPEARS IN

Balbharati Algebra (Mathematics 1) [English] Standard 10 Maharashtra State Board
Chapter 3 Arithmetic Progression
Practice Set 3.1 | Q 2.1 | Page 61

RELATED QUESTIONS

In an A.P., if S5 + S7 = 167 and S10=235, then find the A.P., where Sn denotes the sum of its first n terms.


The houses in a row numbered consecutively from 1 to 49. Show that there exists a value of x such that sum of numbers of houses preceding the house numbered x is equal to sum of the numbers of houses following x.


Find the 20th term from the last term of the A.P. 3, 8, 13, …, 253.


How many terms of the AP. 9, 17, 25 … must be taken to give a sum of 636?


Find the sum of the odd numbers between 0 and 50.


Find the sum of first 22 terms of an A.P. in which d = 22 and a = 149.


Find the sum of all odd natural numbers less than 50.


The fourth term of an A.P. is 11 and the eighth term exceeds twice the fourth term by 5. Find the A.P. and the sum of first 50 terms.


Determine k so that (3k -2), (4k – 6) and (k +2) are three consecutive terms of an AP.


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


Which term of the AP 21, 18, 15, … is zero?


Find the sum of first n terms of an AP whose nth term is (5 - 6n). Hence, find the sum of its first 20 terms.


How many terms of the AP 21, 18, 15, … must be added to get the sum 0?


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`


For an given A.P., t7 = 4, d = −4, then a = ______.


If the first term of an A.P. is a and nth term is b, then its common difference is


Q.2


If ₹ 3900 will have to be repaid in 12 monthly instalments such that each instalment being more than the preceding one by ₹ 10, then find the amount of the first and last instalment


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?


k + 2, 2k + 7 and 4k + 12 are the first three terms of an A.P. The first term of this A.P. is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×