हिंदी

Write an A.P. whose first term is a and common difference is d in the following. a = –19, d = –4 - Algebra Mathematics 1

Advertisements
Advertisements

प्रश्न

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

a = –19, d = –4

योग
Advertisements

उत्तर

a = –19, d = –4

t1 = a = –19

t2 = a + d = –19 + (–4) = –19 – 4 = –23

t3 = a + 2d = –19 + 2(–4) = –19 – 8 = –27

t4 = a + 3d = –19 + 3(–4) = –19 – 12 = –31

∴ A.P. is –19, –23, –27, –31, .......

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Arithmetic Progression - Practice Set 3.1 [पृष्ठ ६१]

APPEARS IN

बालभारती Algebra (Mathematics 1) [English] Standard 10 Maharashtra State Board
अध्याय 3 Arithmetic Progression
Practice Set 3.1 | Q 2.6 | पृष्ठ ६१

संबंधित प्रश्न

Find the sum of all numbers from 50 to 350 which are divisible by 6. Hence find the 15th term of that A.P.


If the ratio of the sum of the first n terms of two A.Ps is (7n + 1) : (4n + 27), then find the ratio of their 9th terms.


Find the sum of all 3-digit natural numbers, which are multiples of 11.


If 4 times the 4th term of an A.P. is equal to 18 times its 18th term, then find its 22nd term.


In a flower bed, there are 43 rose plants in the first row, 41 in second, 39 in the third, and so on. There are 11 rose plants in the last row. How many rows are there in the flower bed?


If a denotes the nth term of the AP 2, 7, 12, 17, … find the value of (a30 - a20 ).


If the sum of first n terms is  (3n+  5n), find its common difference.


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

a = –1.25, d = 3 


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


If first term of an A.P. is a, second term is b and last term is c, then show that sum of all terms is  \[\frac{\left( a + c \right) \left( b + c - 2a \right)}{2\left( b - a \right)}\].


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


The sum of the first n terms of an A.P. is 4n2 + 2n. Find the nth term of this A.P. 


Ramkali would need ₹1800 for admission fee and books etc., for her daughter to start going to school from next year. She saved ₹50 in the first month of this year and increased her monthly saving by ₹20. After a year, how much money will she save? Will she be able to fulfil her dream of sending her daughter to school?


The common difference of the A.P. \[\frac{1}{2b}, \frac{1 - 6b}{2b}, \frac{1 - 12b}{2b}, . . .\] is 

 

Q.16


If a = 6 and d = 10, then find S10 


First four terms of the sequence an = 2n + 3 are ______.


An AP consists of 37 terms. The sum of the three middle most terms is 225 and the sum of the last three is 429. Find the AP.


Read the following passage:

India is competitive manufacturing location due to the low cost of manpower and strong technical and engineering capabilities contributing to higher quality production runs. The production of TV sets in a factory increases uniformly by a fixed number every year. It produced 16000 sets in 6th year and 22600 in 9th year.

  1. In which year, the production is 29,200 sets?
  2. Find the production in the 8th year.
    OR
    Find the production in first 3 years.
  3. Find the difference of the production in 7th year and 4th year.

An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×