Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 16

MEDIUM

11th CBSE

IMPORTANT

Earn 100

The $4^{t h}$ term of an $AP$ is three times the first and the $7^{th}$ term exceeds twice the third term by $1$ . Find the first term and the common difference.

Important Questions on Arithmetic Progression

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 17

If

7

times the

7^{th}

term of an

AP

is equal to

11

times its

11^{th}

term, show that the

18^{th}

term of the

AP

is zero.

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 18

Find the

28^{th}

term from the end of the

A . P; 6, 9, 12, 15, 18, \dots, 102

.

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 19

Find the

16^{t h}

term from the end of the

A P 7, 2, - 3, - 8, - 13, \dots, - 113

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 20

How many

3

-digit numbers are divisible by

7

?

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 21

How many

2

-digit numbers are divisible by

3

?

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 22

If $θ_{1}, θ_{2}, θ_{3}, \dots, θ_{n}$ are in $A P$ whose common difference is $d$ , show that

$\sec θ_{1} \sec θ_{2} + \sec θ_{2} \sec θ_{3} + \dots + \sec θ_{n - 1} \sec θ_{n} = \frac{(\tan θ_{n} - \tan θ_{1})}{\sin d}$

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11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 23

In an

A P

, it is being given that

\frac{T_{4}}{T_{7}} = \frac{2}{3}

. Find

T_{7} + T_{10}

.

MEDIUM

11th CBSE

IMPORTANT

Senior Secondary School Mathematics FOR CLASS 11>Chapter 11 - Arithmetic Progression>EXERCISE 11A>Q 24

Three numbers are in

A P

. If their sum is

27

and their product is

648

, find the numbers.