7
Q:

Find the sum of the Arithmetic Series upto 36 terms

2, 5, 8, 11,...

A) 3924 B) 1962
C) 1684 D) 1452

Answer:   B) 1962



Explanation:

Arithmetic Series ::

 

An Arithmetic Series is a series of numbers in which each term increases by a constant amount.

 

How to find the sum of the Arithmetic Sequence or Series for the given Series ::

 

When the series contains a large amount of numbers, its impractical to add manually. You can quickly find the sum of any arithmetic sequence by multiplying the average of the first and last term by the number of terms in the sequence.

 

That is given by Sn = n(a1 + an)2 Where n = number of terms, a1 = first term, an = last term

 

Here Last term is given by an = a1 + n-1d where d = common difference

 

Now given Arithmetic Series is 

 

2, 5, 8, 11,...

 

Here a1 = 2,  d = 3, n = 36 

 

Now, an= a1 + n - 1d a36= 2 + 36 - 13 = 105 + 2 = 107 

 

Now, Sum to 36 terms is given by

 

S36 = 36(2 + 107)2 = 36 x 1092 = 39242 = 1962

 

 

 

Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.

Q:

Find the next number in the number series?

6, 6, 9, 18, 45, ?

A) 87 B) 99.75
C) 115.5 D) 135
 
Answer & Explanation Answer: D) 135

Explanation:

The given number series is 6, 6, 9, 18, 45, ?

Here the series follows a pattern that,

6 x 1 = 6

6 x 1.5 = 9

9 x 2 = 18

18 x 2.5 = 45

45 x 3 = 135

 

Hence, the next number in the given number series is 135.

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0 35
Q:

Find the odd one out of the following number series?

56, 64, 48, 90, 16, 144

 

A) 48 B) 64
C) 90 D) 16
 
Answer & Explanation Answer: C) 90

Explanation:

The given number series follows a pattern that,

56

56 + 8 = 64

64 - 16 = 48

48 + 32 = 80 (Not equal to 90)

80 - 64 = 16

16 + 128 = 144 

 

Hence, the odd number in the given number series is 90.

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1 84
Q:

Find the next number in the following number series?

410, 409, 413, 404, ? 

A) 412 B) 415
C) 418 D) 420
 
Answer & Explanation Answer: D) 420

Explanation:

The given number series 410, 409, 413, 404, ? , follows a pattern that 

410

410 - 13 = 409409 + 22 = 413413 - 33 = 404404 + 42 = 420

 

Hence, the next number in the given series is 420.

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3 71
Q:

Find the next number in the given number series?

50, 51, 47, 56, 40, ?

A) 58 B) 65
C) 76 D) 81
 
Answer & Explanation Answer: B) 65

Explanation:

The given number series is 50, 51, 47, 56, 40, ?

 

5050 + 12 = 5151 - 22 = 4747 + 32 = 5656 - 42 = 4040 + 52 = 65

 

Hence, the next number in the given number series is 65.

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2 82
Q:

Find the odd one out of the following number series?

9 5 6 14 56 488

A) 56 B) 6
C) 14 D) 5
 
Answer & Explanation Answer: A) 56

Explanation:

The given number series follows a pattern that,

9

9 x 0.5 + 0.5 = 5

5 x 1 + 1 = 6

6 x 2 + 2 = 14

14 x 4 + 4 = 60 (not equals to 56)

60 x 8 + 8 = 488.

 

Hence, the odd one in the given number series is 56.

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1 83
Q:

Find the odd man out in the following number series?

71, 88, 113, 150, 203, 277

A) 277 B) 203
C) 150 D) 113
 
Answer & Explanation Answer: A) 277

Explanation:

The given number series is 

 

71      88       113       150       203          277

   +17    +25       +37      +53        +74

        +8      +12        +16       +21

            +4          +4         +5

 

The series should be  71  88  112   150    203   276 i.e, the differences of the difference should be +4.

 

Hence, the odd man in the given series is 277.

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0 138
Q:

Find the next number in the following number series?

11, 13, 30, 96, ?

A) 264 B) 392
C) 412 D) 459
 
Answer & Explanation Answer: B) 392

Explanation:

The given number series 11, 13, 30, 96, ? follows a pattern that,

11

11 x 1 + 2 = 13

13 x 2 + 4 = 30

30 x 3 + 6 = 96

96 x 4 + 8 = 392

 

Hence, the next number in the given series is 392.

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2 193
Q:

Find the odd number out of the following number series?

2 4 8 11.5 18.25 28.375

A) 18.25 B) 28.375
C) 11.5 D) 8
 
Answer & Explanation Answer: D) 8

Explanation:

Given number series follows a pattern that,

2

2 x 1.5 + 1 = 4

4 x 1.5 + 1 = 7 (not equal to 8)

7 x 1.5 + 1 = 11.5

11.5 x 1.5 + 1 = 18.25

18.25 x 1.5 + 1 = 28.375

 

Hence, the odd number in the given number series is 8.

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2 260