मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Merry got a job with salary ₹ 15000 per month. If her salary increases by ₹ 100 per month, how much would be her salary after 20 months? - Algebra

Advertisements
Advertisements

प्रश्न

Merry got a job with salary ₹ 15000 per month. If her salary increases by ₹ 100 per month, how much would be her salary after 20 months?

बेरीज

उत्तर

Merry’s monthly salaries form an A.P.

With first term (a) = ₹ 15000 and common difference (d) = ₹ 100

Number of months (n) = 20

tn = a + (n – 1)d

∴ t20 = 15000 + (20 – 1)(100)

= 15000 + 19(100)

= 15000 + 1900

= 16900

∴ Merry’s salary after 20 months will be ₹ 16,900.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Arithmetic Progression - Q.3 (B)

संबंधित प्रश्‍न

A farmer borrows Rs.1,000 and agrees to repay with a total interest of Rs. 140 in 12 installments, each installment being less that the preceding installment by Rs. 10. What should be his first installment?


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

(A) 2

(B) 3

(C) -3

(D) 5


If pth , qth and rth terms of an A.P. are a, b, c respectively, then show that

(i) a (q – r) + b(r – p) + c(p – q) = 0

(ii) (a – b) r + (b –¬ c) p + (c – a) q = 0


For the following APs, write the first term and the common difference:

3, 1, –1, –3, ...


Following are APs or not? If they form an A.P. find the common difference d and write three more terms: 

-10, -6, -2, 2 …


Write the next two terms of A.P. whose first term is 3 and the common difference is 4.


What is the common difference of an A.P. in which a21 – a7 = 84?


Show that the sequence defined by an = 3n2 − 5 is not an A.P


Prove that no matter what the real numbers a and are, the sequence with the nth term a + nb is always an A.P. What is the common difference?


Which of the following sequences are arithmetic progressions? For those which are arithmetic progressions, find out the common difference.

12, 2, −8, −18, ...


The first term of an A.P. is 5, the common difference is 3 and the last term is 80;


is the Consider the expression an = 2n − 1, AP . 


Write the two terms of the A.P. 2,5,8,11,...


Choose the correct alternative answer for the following sub question.

In an Arithmetic Progression 2, 4, 6, 8, ... the common difference d is ______


1, 6, 11, 16 ...... Find the 18th term of this A.P.


If a, b, c are in A.P. then `(a-b)/(b-c)` is equal to ______.


Which of the following form an AP? Justify your answer.

11, 22, 33,...


The taxi fare after each km, when the fare is Rs 15 for the first km and Rs 8 for each additional km, does not form an AP as the total fare (in Rs) after each km is 15, 8, 8, 8,... Is the statement true? Give reasons.


Verify that the following is an AP, and then write its next three terms.

`0, 1/4, 1/2, 3/4, ...`


If the terms 10, a, 40 are in A.P., then find the value of a.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×