MEDIUM

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If $(1 + 3 + 5 + \dots + p) + (1 + 3 + 5 + \dots + q) = (1 + 3 + 5 + \dots + r)$ , where each set of parentheses contains the sum of consecutive odd integers as shown, the smallest possible value of $p + q + r$ , ( where $p > 6$ ) is

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Important Questions on Progression and Series

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

If the sum of the first

15

terms of the series

{(\frac{3}{4})}^{3} + {(1 \frac{1}{2})}^{3} + {(2 \frac{1}{4})}^{3} + 3^{3} + {(3 \frac{3}{4})}_{}^{3} + \dots

is equal to

225 K

, then

K

is equal to :

EASY

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Which number will come next in the following series?

3, 7, 16, 32, 57,

_______

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Select the number that can replace the question mark (?) in the following series.

$3, 12, 36, 80, ?, 248$

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Some identical balls are arranged in rows to form an equilateral triangle. The first row consists of one ball, the second row consists of two balls and so on. If

99

more identical balls are added to the total number of balls used in forming the equilateral triangle, then all these balls can be arranged in a square, whose each side contains exactly

2

balls less than the number of balls each side of the triangle contains. Then the number of balls used to form the equilateral triangle is

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

What will be the next term in the series?

$22 P, 2 Z, 24 Q, 4 Y, 26 R,$ _____?

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

The sum of the series

1 + 2 \times 3 + 3 \times 5 + 4 \times 7 + \dots

upto

11^{t h}

term is:

EASY

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Which number will come next in the following series?

1, 4, 16, 64, 256,

_______

HARD

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

\sum_{n = 1}^{5} \frac{1}{n (n + 1) (n + 2) (n + 3)} = \frac{k}{3},

then

k

is equal to:

HARD

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

The sum of the series

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

upto

n

terms is

EASY

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Which number will replace the question mark (?) in the following series?

$57, ?, 62, 71, 87, 112, 148$

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

The sum

\frac{3 \times 1^{3}}{1^{2}} + \frac{5 \times (1^{3} + 2^{3})}{1^{2} + 2^{2}} + \frac{7 \times (1^{3} + 2^{3} + 3^{3})}{1^{2} + 2^{2} + 3^{2}} + . . . . .

upto

10^{t h}

term is

EASY

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Find the next term in the following series.

4

,B,

6

5

7

HARD

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

The sum of first

9

terms of the series

\frac{1^{3}}{1} + \frac{1^{3} + 2^{3}}{1 + 3} + \frac{1^{3} + 2^{3} + 3^{3}}{1 + 3 + 5} + . . .

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

The value of

\sum_{r = 16}^{30} (r + 2) (r - 3)

is equal to:

HARD

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Let

S_{k} = \frac{1 + 2 + 3 + \dots + k}{k}

. If

S_{1}^{2} + S_{2}^{2} + \dots + S_{10}^{2} = \frac{5}{12} A

, then

A

is equal to :

EASY

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

ω

, is an imaginary cube root of

1

, then the value of

1 (2 - ω) (2 - ω^{2}) + 2 (3 - ω) (3 - ω^{2}) + . . . . . + (n - 1) (n - ω) (n - ω^{2})

, is

HARD

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Let

a_{i} = i + \frac{1}{i}

for

i = 1, 2, \dots ., 20

. Put

p = \frac{1}{20} (a_{1} + a_{2} + \dots + a_{20})

and

q = \frac{1}{20} (\frac{1}{a_{1}} + \frac{1}{a_{2}} + \dots + \frac{1}{a_{20}}) .

Then

MEDIUM

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Which number will come next in the following series?

9, 196, 25, 169, 49, 144, 81,

_______

EASY

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

In each of the following questions, a series is given with one/two-term(s) missing. Choose the correct alternatives from the given ones that will complete the series.

$B, G, N, W, ?$

EASY

Quantitative Aptitude>Arithmetic>Progression and Series>Progression and Series

Find the next term in this series.

$2$ R, $9$ U, $16$ X, ______

If 1+3+5+…+p+1+3+5+…+q=1+3+5+…+r , where each set of parentheses contains the sum of consecutive odd integers as shown, the smallest possible value of p+q+r, ( where p>6 ) is

Important Questions on Progression and Series

Learn and Prepare for any exam you want !

If $(1 + 3 + 5 + \dots + p) + (1 + 3 + 5 + \dots + q) = (1 + 3 + 5 + \dots + r)$ , where each set of parentheses contains the sum of consecutive odd integers as shown, the smallest possible value of $p + q + r$ , ( where $p > 6$ ) is