मराठी

If the Common Differences of an A.P. is 3, Then A20 − A15 is - Mathematics

Advertisements
Advertisements

प्रश्न

If the common differences of an A.P. is 3, then a20 − a15 is 

पर्याय

  • A. 5

  • B. 3

  • C. 15

  • D. 20

MCQ
Advertisements

उत्तर

Let the first term of the A.P. be a

`a_n=a(n-1)d`

`a_20-a_15=[a+(20-1)d]-[a+(15-1)d]`

`=19d-14b`

`=5d`

`=5xx3`

`=15`

The correct answer is C. 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
2010-2011 (March) All india set 1

संबंधित प्रश्‍न

If the sum of the first n terms of an AP is 4n − n2, what is the first term (that is, S1)? What is the sum of the first two terms? What is the second term? Similarly, find the 3rd, the 10th, and the nth terms.


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.]


In an A.P., the sum of first n terms is `(3n^2)/2 + 13/2 n`. Find its 25th term.


The sum of first three terms of an AP is 48. If the product of first and second terms exceeds 4 times the third term by 12. Find the AP.


If k,(2k - 1) and (2k - 1) are the three successive terms of an AP, find the value of k.


If the sum of first p terms of an AP is 2 (ap2  +  bp), find its common difference.


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


In an A.P. sum of three consecutive terms is 27 and their product is 504, find the terms.
(Assume that three consecutive terms in A.P. are a – d, a, a + d).


If the sum of the first four terms of an AP is 40 and that of the first 14 terms is 280. Find the sum of its first n terms.


If the first term of an A.P. is 5, the last term is 15 and the sum of first n terms is 30, then find the value of n.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×