Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.9>Q 3

EASY

10th Tamil Nadu Board

IMPORTANT

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If $1^{3} + 2^{3} + 3^{3} + \dots + k^{3} = 44100$ , then find $1 + 2 + 3 + \dots + k$ .

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Important Questions on Numbers And Sequences

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.9>Q 4

How many terms of the series

1^{3} + 2^{3} + 3^{3} + \dots

should be taken to get the sum

14400

?

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.9>Q 5

The sum of the squares of the first n natural numbers is

285,

while the sum of their cubes is

2025

Find the value of n

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.9>Q 6

Rekha has

15

square colour papers of sizes

10 cm, 11 cm, 12 cm, \dots, 24 cm

. If the area can be decorated with these colour papers is

k {cm}^{2}

, then find the value of

k

.

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.9>Q 7

Find the sum of the series $(2^{3} - 1) + (4^{3} - 3^{3}) + (6^{3} - 15^{3}) + \dots$ to $n$ terms.

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.9>Q 7

Find the sum of the series $(2^{3} - 1) + (4^{3} - 3^{3}) + (6^{3} - 5^{3}) + \dots$ to $8$ terms.

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 1

Euclid's division lemma states that for positive integers

a

and

b

, there exist unique integers

q

and

r

such that

a = b q + r

, where

r

must satisfy

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 2

Using Euclid's division lemma, if the cube of any positive integer is divided by

9

then the possible remainders are

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 3

If the H.C.F of

65

and

117

is expressible in the form of

65 m - 117

, then the value of

m

is