Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 4

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If $a_{1}, a_{2}, a_{3}, \dots$ are in $A . P .$ such that $a_{1} + a_{5} + a_{10}$ $+ a_{15} + a_{20} + a_{24} = 225$ , then $a_{1} + a_{2} + a_{3} + \dots + a_{24}$ is equal to -

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Important Questions on Sequences and Series

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 5

The first and last terms of an A.P. are

1

and

7

. If the sum of its terms is

36

, then the number of terms will be

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 6

An

A . P .

has common difference

2,

sum of first

n

terms is

49

and

7^{t h}

term

13

. The value of

n

is equal to

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 8

The sum of all two digit odd numbers is

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 9

The number of numbers lying between

81

and

1792

which are divisible by

17

is

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 11

The sum to

p

terms of an Arithmetic Progression is

q

and the sum to

q

terms is

p

. The sum to

p + q

terms is

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 12

If

\frac{(3 + 5 + 7 + \dots to n terms)}{(5 + 8 + 11 + \dots to 10 terms)} = 7

, then

n = ?

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 13

In

A . M .' s

are introduced between

3

and

17

such that the ratio of the last mean to the first mean is

3 : 1,

then the value of

n

is

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Gamma Question Bank for Engineering Mathematics>Chapter 4 - Sequences and Series>Assignment>Q 14

Four numbers are in A.P. The sum of first and last is

8

and the product of both middle terms is

15

. The least among the four numbers is