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If $a, b, c$ form an $A P$ with common difference $d (\neq 0)$ and $x, y, z$ form a $G P$ with common ratio $r (\neq 1),$ then the area of the triangle with vertices $(a, x), (b, y)$ and $(c, z)$ in independent of

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Important Questions on Progression and Series

HARD

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

The common difference of the

A . P . b_{1}, b_{2}, . . . ., b_{m}

2

more than common difference of

A . P . a_{1}, a_{2}, . . . . ., a_{n}

. If

a_{40} = - 159, a_{100} = - 399

and

b_{100} = a_{70}

, then

b_{1}

is equal to :

MEDIUM

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

Let

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

be an

A . P .

with

a_{6} = 2 .

Then, the common difference of this

A . P .,

which maximise the product

a_{1} \cdot a_{4} \cdot a_{5},

is :

HARD

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

If the sum of the series

20 + 19 \frac{3}{5} + 19 \frac{1}{5} + 18 \frac{4}{5} + . . . . . . . . . .

up to

n^{th}

term is

488

and the

n^{th}

term is negative, then :

EASY

Numerical Aptitude>Arithmetic>Progression 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

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

What is the value of

21 + 22 + . . . . . . + 46

EASY

Numerical Aptitude>Arithmetic>Progression 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

MEDIUM

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

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

are in A.P. such that

a_{1} + a_{7} + a_{16} = 40,

then the sum of the first

15

terms of this A.P is

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

Which one is A. P. series ?

MEDIUM

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

The difference between two numbers is

48

and the difference between their arithmetic mean and their geometric mean is

18

. Then, the greater of two numbers is

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

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

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

The value of

x

for which

2 x, (x + 10)

and

(3 x + 2)

are the three consecutive terms of an AP, is

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

What will be the

10 t h

number in the series

12, 19, 26, 33,_____?

MEDIUM

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

2 k + 1

13

5 k - 3

are three consecutive terms of an

A . P

, then

k =

_____

MEDIUM

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

Let

α_{r}

be the

r^{th}

term of an A.P. whose first term is

a

and common difference is

d

. If for some positive integers

m, n, m \neq n, α_{m} = \frac{1}{n}

and

α_{n} = \frac{1}{m},

then

a - d

equals

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

a, b, c

are three consecutive terms of A.P., the arithmetic mean of

a

and

c

b

, then

b =

_____

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

If $x + 2, 3 x - 1, 4 x + 1$ are the consecutive terms of an A.P. then $x =$ _____.

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

If the first, second and last term of an arithmetic series are

a, b, c

respectively, them the number of terms is

EASY

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

$Let S_{n} = 1 \cdot (n - 1) + 2 \cdot (n - 2) + 3 \cdot (n - 3) + \dots + (n - 1) \cdot 1, n ⩾ 4 .$

$The sum \sum_{n = 4}^{\infty} (\frac{2 S_{n}}{n!} - \frac{1}{(n - 2)!}) is equal to :$

MEDIUM

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

R s . 720

was divided among

A, B, C, D

and

E

. The sum received by them was in ascending order and in Arithmetic Progression.

E

received

R s . 40

more than

A

. How much did

B

received?

MEDIUM

Numerical Aptitude>Arithmetic>Progression and Series>Arithmetic Progression

What is the value of

21 + 24 + 27 + . . . . . + 51

If a,b,c form an AP with common difference d ≠0 and x,y,z form a GP with common ratio r ≠1, then the area of the triangle with verticesa,x,b,y and c,z in independent of

Important Questions on Progression and Series

Learn and Prepare for any exam you want !

If $a, b, c$ form an $A P$ with common difference $d (\neq 0)$ and $x, y, z$ form a $G P$ with common ratio $r (\neq 1),$ then the area of the triangle with vertices $(a, x), (b, y)$ and $(c, z)$ in independent of