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

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### 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?

Which term of A.P. 20,19

Question 4 1 ​ ,18 2 1 ​

,..... is first negative term?

A

B

C

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).

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?

Which term of the AP

20,1914,1812,1734

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

### 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.

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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

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