Home
Class 10
MATHS
If the first term of an AP is -5 and the...

If the first term of an AP is -5 and the common difference is 2, then the sum of the first 6 terms is

A

0

B

5

C

6

D

15

Text Solution

Verified by Experts

The correct Answer is:
A

Given, `a= -5` and `d=2`
` :. S_(6)=(6)/(2)[2a+(6-1)d] " " [ :' S_(n)=(n)/(2){2a+(n-1)d}]`
` " " =3[2(-5)+5(2)] " " =3(-10+10)=0`
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Very Short Answer Type Questions|8 Videos
  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Short Answer Type Questions|35 Videos
  • AREAS RELATED TO CIRCLE

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|20 Videos
  • CIRCLES

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 9.4 LONG ANSWER TYPE QUESTIONS|14 Videos

Similar Questions

Explore conceptually related problems

If the first term of an A.P. is 2 and common difference is 4, then the sum of its 40 terms is (a) 3200 (b) 1600 (c) 200 (d) 2800

If the sum of n terms of an A.P. be 3n^2-n and its common difference is 6, then its first term is

The sum of the first n terms of an AP whose first term is 8 and the common difference is 20 is equal to the sum of first 2n terms of another AP whose first term is -30 and the common difference is 8 . Find n .

The first term of an A.P. is -7 and the common difference 5. Find its 18 t h term and the general term.

The sum of n terms of an AP is 3n^2+n and its common difference is 6,then find its first term.

If the sum of first p terms of an AP is ap^2+bp find the common difference

If the sum of first p terms of an AP is ap^2+bp find the common difference

The first term of an AP. is 5, the common difference is 3 and the last term is 80; find the number of terms.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.

If the sum of first 7 terms of an AP is 49 and that of 17 terms is 289, find the sum of first n terms.