Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 8

HARD

10th Tamil Nadu Board

IMPORTANT

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The first term of an arithmetic progression is unity and the common difference is $4$ . Which of the following will be a term of this A.P.

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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 2.1>Q 9

If

6

times of

6^{th}

term of an A.P is equal to

7

times the

7^{th}

term, then the

13^{th}

term of the A.P. is

MEDIUM

10th Tamil Nadu Board

IMPORTANT

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

An A.P consists of

31

terms. If its

16^{th}

term is

m

, then the sum of all the terms of this A.P. is

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 11

In an A.P., the first term is

1

and the common difference is

4

. How many terms of the A.P must be taken for their sum to be equal to

120

?

HARD

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 12

If

A = 2^{65} and B = 2^{64} + 2^{63} + 2^{62} + . . . . + 2^{0}

which of the following is true?

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 13

The next term of the sequence

\frac{3}{16}, \frac{1}{8}, \frac{1}{12}, \frac{1}{18}, \dots

is

EASY

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 14

If the sequence

t_{1}, t_{2}, t_{3}, \dots \dots \dots . .

are in A.P. then the sequence

t_{6,} t_{12}, t_{18}, \dots \dots

is

MEDIUM

10th Tamil Nadu Board

IMPORTANT

Mathematics Standard 10>Chapter 2 - Numbers And Sequences>Exercise 2.1>Q 15

The value of

(1^{3} + 2^{3} + 3^{3} + \dots + 15^{3}) - (1 + 2 + 3 + \dots + 15)

is

HARD

10th Tamil Nadu Board

IMPORTANT

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

Prove that

n^{2} - n

divisible by

2

for every positive integer

n

.