Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 46

EASY

10th CBSE

IMPORTANT

Earn 100

The cylindrical bumps on top of lego blocks are called studs.

Pragun has built a solid inverted lego pyramid as shown below. The number of studs in successive floors forms an arithmetic progression. Pragun figures out that the sum of the number of studs used in the first $p$ floors is given by $(6 p^{2} - 2 p)$ .

How many studs are there in the $5$ th floor?

50% studentsanswered this correctly

Important Questions on Arithmetic Progressions

MEDIUM

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 50

The next number of the series

0, 1, 1, 2, 3, 5, 8, 13, . . . . . . .

is _____.

MEDIUM

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 51

S_{n}

of an A.P. can be

4 n + 2

.

MEDIUM

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 52

The sum of

n

terms of an A.P. is

3 n^{2} + 5 n

, then its first term is _____.

HARD

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 53

If

p^{t h}

term of an

A . P .

is

q

and its

q^{t h}

term is

p .

Show that is

r^{t h}

term is

(p + q - r) .

HARD

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 54

Kanika was given her pocket money on

1 st Jan, 2019

. She puts

₹ 1

on day

1, ₹ 2

on day,

2, ₹ 3

on day

3

, and continued doing so till the end of the month, from this money into her piggy bank. She also spent

₹ 204

of her pocket money, and was found that at the end of the month she still had

₹ 100

with her. If money

₹ x

was her pocket money for the month, find

x

.

HARD

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 55

If the

m^{th}

term of AP

3, 15, 27, 39 \dots \dots

will be

120

more than its

21^{st}

term, then find the value of

m

.

HARD

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 56

The sum of the

5^{th}

and

7^{th}

terms of an

A . P .

is

52

and its

10^{th}

term is

46

. Find the

A . P .

HARD

10th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class X>Chapter 5 - Arithmetic Progressions>Exercise>Q 57

Find the sum of each of the following arithmetic series:

$5 + (- 41) + 9 + (- 39) + 13 + (- 37) + 17 + \dots + (- 5) + 81 + (- 3)$ .