EASY

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The $20$ th terms of arithmetic progression whose $6$ th term is $38$ and $10$ th term is $66$ is _________

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Important Questions on Sequences and Series

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

Let

S_{1}

be the sum of first

2 n

terms of an arithmetic progression. Let

S_{2}

be the sum of first

4 n

terms of the same arithmetic progression. If

(S_{2} - S_{1})

1000

, then the sum of the first

6 n

terms of the arithmetic progression is equal to:

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

Let

S_{n}

denote the sum of the first

n

terms of an

A . P ., a_{1}, a_{2}, a_{3}, \dots, a_{n}

. If

a_{5} + a_{9} = 1

and

S_{9} = 6,

then which one of the following is not true?

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

a, b, c

are three consecutive terms of an

A . P .

and

x, y, z

are three consecutive terms of a

G . P .

, then the value of

x^{b - c} \cdot y^{c - a} \cdot z^{a - b}

MEDIUM

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

The sum of all two digit positive numbers which when divided by

7

yield

2

5

as remainder is

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

a_{1}, a_{2}, a_{3} . . . . . . . . ., a_{n}

are in

A . P .

and

a_{1} + a_{4} + a_{7} . . . . . . . . . + a_{16} = 114

, then

a_{1} + a_{6} + a_{11} + a_{16}

is equal to :

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

How many numbers are there from $200$ to $800$ which are neither divisible by $5$ nor by $7$ ?

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

If the sum of

n

terms of an

A P

is given by

S_{n} = n^{2} + n

, then the common difference of the

A P

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

If the three consecutive terms of an arithmetic sequence are

x, (2 x + 1)

and

11,

then the value of

' x'

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

\sum_{r = 1}^{n} (2 r + 1) = 440

, then

n =

…..

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

If the

10^{t h}

term of an

A . P .

\frac{1}{20}

and its

20^{t h}

term is

\frac{1}{10}

, then the sum of its first

200

terms is

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

Let

S_{n}

be the sum of the first

n

terms of an arithmetic progression. If

S_{3 n} = 3 S_{2 n}

, then the value of

\frac{S_{4 n}}{S_{2 n}}

is :

MEDIUM

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

If the sum and product of the first three terms in an

A . P .

are

33

and

1155

, respectively, then a value of its

11^{t h}

term is:

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

60

times the

60^{th}

term of an

AP

with non zero common difference is equal to

40

times the

40^{th}

term, then the

100^{th}

term of this

AP

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

For the

AP

a_{1}, a_{2}, a_{3}, \dots, a_{40}

, if

a_{1} + a_{5} + a_{15} + a_{26} + a_{36} + a_{40} = 105

, then the sum of the first

40

terms of

AP

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

In an arithmetic sequence the

21^{st}

term is

170

and the

5^{th}

term is

122 .

What is the third term in the sequence?

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

a, b, c, l, m

are in

A . P .

, then the value of

a - 4 b + 6 c - 4 l + m

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

Three numbers are in an increasing geometric progression with common ratio

r .

If the middle number is doubled, then the new numbers are in an arithmetic progression with common difference

d .

If the fourth term of GP is

3 r^{2},

then

r^{2} - d

is equal to :

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

What will be the

10 t h

number in the series

12, 19, 26, 33,_____?

EASY

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

Let

S_{n}

denote the sum of the first

n

terms of an

A . P .

. If

S_{4} = 16

and

S_{6} = - 48

, then

S_{10}

is equal to:

MEDIUM

Mathematics>Algebra>Sequences and Series>Arithmetic Progression

Three positive numbers form an increasing

G . P .

If the middle term in this

G . P .

is doubled, the new numbers are in

A . P .

Then the common ratio of the

G . P .

is :

The 20th terms of arithmetic progression whose 6th term is 38 and 10th term is 66 is _________

Important Questions on Sequences and Series

Learn and Prepare for any exam you want !

The $20$ th terms of arithmetic progression whose $6$ th term is $38$ and $10$ th term is $66$ is _________