if you want to remove an article from website contact us from top.

    which term of the ap 20, 19 4 1 , 18 2 1 , 17 4 3 , ... is the first negative term.

    Mohammed

    Guys, does anyone know the answer?

    get which term of the ap 20, 19 4 1 , 18 2 1 , 17 4 3 , ... is the first negative term. from screen.

    Which term of the progression 20,19 1/4, 18 1/2, 17 3/4..is the first negative term?

    Which term of the progression 20,19 1/4, 18 1/2, 17 3/4..is the first negative term?

    Byju's Answer Standard X Mathematics Nth Term of a GP Which term of... Question

    Which term of the progression

    20 , 19 1 4 , 18 1 2 , 17 3 4

    ..is the first negative term?

    Open in App Solution Given, A.P. is 20 , 19 1 4 , 18 1 2 , 17 3 4 . . . = 20 , 77 4 , 37 2 , 71 4 , . . . . Here, a = 20, d = 77 4 − 20 = 77 − 80 4 = − 3 4 Let a n

    is first negative term

    <<<<

    ⇒ a + ( n − 1 ) d 0 ⇒ 20 + ( n − 1 ) ( − 3 4 ) 0 ⇒ 20 + 3 4 3 4 n ⇒ 83 4 3 4 n ⇒ n > 83 4 × 4 3 ⇒ n > 83 3 = 27.66 28 t h

    term will be the first negative term of given A.P.

    Suggest Corrections 56

    SIMILAR QUESTIONS

    Q.

    Which term of the sequence

    20 , 19 1 4 , 18 1 2 , 17 3 4

    ......is the negative term?

    Q. Which term of the sequence

    20 , 19 1 4 , 18 1 2 , 17 3 4 , …

    is the first negative term?

    Q. Which term of the sequence

    20 , 19 1 4 , 18 1 2 , 17 3 4 , …

    will be the first negative term.

    Q.

    Which term of the AP

    20 , 19 1 4 , 18 1 2 , 17 3 4

    is its first negative term?

    Q.

    Which term of the progression

    20 , 19 1 4 , 18 1 2 , 17 3 4 . . . . . .

    is the first negative term?

    View More

    स्रोत : byjus.com

    Which term of A.P. 20, 19 1/4, 181/2 ,..... is first negative term?

    Click here👆to get an answer to your question ✍️ Which term of A.P. 20, 19 1/4, 181/2 ,..... is first negative term?

    Which term of A.P. 20,19

    Question 4 1 ​ ,18 2 1 ​

    ,..... is first negative term?

    A

    !8th

    B

    15th

    C

    28th

    D

    27th

    Easy Open in App Solution Verified by Toppr

    Correct option is C)

    20,19

    4 1 ​ ,18 2 1 ​ ,.... or 20, 4 77 ​ , 2 37 ​ ,.... a=20 d= 4 77 ​ −20= 4 −3 ​ Let n th

    term of A.P. be first negative term

    So, 20+(n−1)( 4 −3 ​ )<0 ⇒80−3n+3<0 ⇒3n>83 ⇒n>27 3 2 ​ Hence, 28 th

    term is first negative term.

    (Option 3).

    Was this answer helpful?

    780 82

    स्रोत : www.toppr.com

    Which Term of the Ap `20, 19 1/4 , 18 1/2 , 17 3/4 ` ,..... is the First Negative Term?

    Which Term of the Ap `20, 19 1/4 , 18 1/2 , 17 3/4 ` ,..... is the First Negative Term?

    Advertisement Remove all ads

    Which term of the AP

    20,1914,1812,1734

    ,..... is the first negative term?

    Advertisement Remove all ads

    SOLUTION

    The given AP is 20,1914,1812,1734 ,..... and

    Here,a=20andd=1914-20=774-20=77-804=-34

    Let the nth term of the given AP be the first negative term. Then,

    an < 0

    ⇒20+(n-1) ×(-34)<0          [an=a+(n-1)d]

    ⇒20+34-34n<0 ⇒834-34n<0 ⇒-34n<-834 ⇒n>833=2723 ∴ n= 28

    Hence, the 28th  term is the first negative term of the given AP.

    Concept: Sum of First n Terms of an A.P.

    Is there an error in this question or solution?

    Advertisement Remove all ads

    Chapter 11: Arithmetic Progression - Exercises 1

    Q 25 Q 24 Q 26

    APPEARS IN

    RS Aggarwal Secondary School Class 10 Maths

    Chapter 11 Arithmetic Progression

    VIDEO TUTORIALS

    Exercises 1 | Q 25 VIEW ALL [5] view

    Video Tutorials For All Subjects

    Sum of First n Terms of an A.P.

    video tutorial 01:03:47

    Sum of First n Terms of an A.P.

    video tutorial 00:09:50

    Sum of First n Terms of an A.P.

    video tutorial 00:06:57

    Sum of First n Terms of an A.P.

    video tutorial 00:14:47

    Sum of First n Terms of an A.P.

    video tutorial 00:05:51 Advertisement Remove all ads

    स्रोत : www.shaalaa.com

    Do you want to see answer or more ?
    Mohammed 1 month ago
    4

    Guys, does anyone know the answer?

    Click For Answer