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# NCERT Solutions for Class 10 Maths Exercise 5.4

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NCERT solutions for Maths Arithmetic Progression

## NCERT Solutions for Class 10 Maths Arithmetic Progressions

###### 1. Which term of the AP: 121, 117, 113, ….. is its first negative term?

Ans. Given: 121, 117, 113, …….

Here

Now,

=

= =

For the first negative term,

is an integer and

Hence, the first negative term is 32nd term.

NCERT Solutions for Class 10 Maths Exercise 5.4

###### 2. The sum of the third and the seventh terms of an AP is 6 and their product is 8. Find the sum of sixteen terms of the AP.

Ans. Let the AP be

Then,

……….(i)

Also

Taking

=

= = = 76

Taking ,

=

= = = 20

and 76

NCERT Solutions for Class 10 Maths Exercise 5.4

###### 3. A ladder has rungs 25 cm apart (see figure). The rungs decrease uniformly in length from 45 cm, at the bottom to 25 cm at the top. If the top and the bottom rungs are m apart, what is the length of the wood required for the rungs?

Ans. Number of rungs = 10

The length of the wood required for rungs = sum of 10 rungs

= = = 350 cm

NCERT Solutions for Class 10 Maths Exercise 5.4

###### 4. The houses of a row are numbered consecutively from 1 to 49. Show that there is a value of such that the sum of the numbers of the houses preceding the house numbered is equal to the sum of the numbers of the houses following it. Find this value of

Ans. Here and

=

= =

= =

= = 49 x 25

According to question,

=

+ =

=

Since, is a counting number, so negative value will be neglected.

NCERT Solutions for Class 10 Maths Exercise 5.4

###### 5. A small terrace at a football ground comprises of 15 steps each of which is 50 m long and built of solid concrete.

Each step has a rise of m and a tread of m (see figure). Calculate the total volume of concrete required to build the terrace.

Ans. Volume of concrete required to build the first step, second step, third step, ……. (in m2) are

Total volume of concrete required =

=

=

=

=

## NCERT Solutions for Class 10 Maths Exercise 5.4

NCERT Solutions Class 10 Maths PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 10 Maths includes text book solutions from Mathematics Book. NCERT Solutions for CBSE Class 10 Maths have total 15 chapters. 10 Maths NCERT Solutions in PDF for free Download on our website. Ncert Maths class 10 solutions PDF and Maths ncert class 10 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide.

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### 14 thoughts on “NCERT Solutions for Class 10 Maths Exercise 5.4”

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11. 3rd answer is 385, number of rungs=11 not 10

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