English
Maharashtra State BoardSSC (English Medium) 10th Standard

Fill up the Boxes and Find Out the Number of Terms in the A.P.1,3,5,....,149 .Here a = 1 , D =B`[ ], T_N = 149`Tn = a + (N-1) D ∴ 149 =`[ ] ∴149 = 2n - [ ]`∴ N =`[ ]`

Advertisements
Advertisements

Question

Fill up the boxes and find out the number of terms in the A.P.
1,3,5,....,149 .

Here a = 1 , d =b`[    ], t_n = 149`

tn = a + (n-1) d 

∴ 149 =`[  ]     ∴149 = 2n -  [  ]`
∴ n =`[  ]`

 

Advertisements

Solution

In the A.P. 1,3,5,....,149
a = 1 , d = 2 , tn = 149

tn = a + (n-1)d
149 = 1+ (n-1) × 2
149 = 1 + 2n -2
149 = 2n - 1
∴ 2n = 150
∴ n = 75 

shaalaa.com
  Is there an error in this question or solution?
2018-2019 (March) Balbharati Model Question Paper Set 2

RELATED QUESTIONS

The first term of an A.P. is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference.


Find the sum of first 51 terms of an AP whose second and third terms are 14 and 18 respectively.


A contract on a construction job specifies a penalty for delay of completion beyond a certain date as follows: Rs. 200 for the first day, Rs. 250 for the second day, Rs. 300 for the third day, etc., the penalty for each succeeding day being Rs. 50 more than for the preceding day. How much money does the contractor have to pay as a penalty if he has delayed the work by 30 days?


Find the sum of the following arithmetic progressions:

a + b, a – b, a – 3b, ... to 22 terms


Find the sum of the following arithmetic progressions:

`(x - y)/(x + y), (3x - 2y)/(x + y), (5x - 3y)/(x + y),...` to n terms


If 10 times the 10th term of an AP is equal to 15 times the 15th term, show that its 25th term is zero.


Find the sum  (−5) + (−8)+ (−11) + ... + (−230) .


Write the common difference of an A.P. whose nth term is an = 3n + 7.

 

If \[\frac{1}{x + 2}, \frac{1}{x + 3}, \frac{1}{x + 5}\]  are in A.P. Then, x =


If the nth term of an A.P. is 2n + 1, then the sum of first n terms of the A.P. is 


Q.3 

 


Q.12


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


Write the formula of the sum of first n terms for an A.P.


Find the sum of all the 11 terms of an A.P. whose middle most term is 30.


Yasmeen saves Rs 32 during the first month, Rs 36 in the second month and Rs 40 in the third month. If she continues to save in this manner, in how many months will she save Rs 2000?


Show that the sum of an AP whose first term is a, the second term b and the last term c, is equal to `((a + c)(b + c - 2a))/(2(b - a))`


The students of a school decided to beautify the school on the Annual Day by fixing colourful flags on the straight passage of the school. They have 27 flags to be fixed at intervals of every 2 m. The flags are stored at the position of the middle most flag. Ruchi was given the responsibility of placing the flags. Ruchi kept her books where the flags were stored. She could carry only one flag at a time. How much distance did she cover in completing this job and returning back to collect her books? What is the maximum distance she travelled carrying a flag?


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×