Here the given series follows a pattern that,
22 - 0 = 4
32 - 1 = 8
42 - 2 = 14
52 - 3 = 22
62 - 4 = 32
Hence, the missing number is 32
Method 2 ::
The difference between 4 and 8 is 4, the difference between 8 and 14 is 6, the difference between 14 and 22 is 8. So the next difference between 22 and the next number will be 10 since it follows (4,6,8,10 - add +2 each time)
Hence, 22 + 10 = 32 is the missing number.
Given 311 230 294 ? 281 256
311 - (9x9) = 230
230 + (8x8) = 294
294 - (7x7) = 245
245 + (6x6) = 281
281 - (5x5) = 256
Hence, the missing number in the given series is 245.
Here the given series follows a pattern that, multiplying the number with odd numbers in decreasing order starting with 13. That is,
6 × 13 = 78
65 × 11 = 858
858 × 9 = 7722
7722 × 7 = 54054
54054 × 5 = 270270
Hence, the wrong number is 54055
Except Horse, remaining all belong to female category.
Hind - Female Deer
Ewe - Female Sheep
Bitch - Female Dog.
Total savings = 200 + 200 + 200 + 240 + 280 + ... to n months = 11040
= 120 + 80 + 160 + 40 + 200 + 240 + ....n terms
= 40 + 80 + 120 + 160 + 200 + 240 + ...n terms
= n/2[2a + (n-1)d] + 80 + 40 = 11040
= n/2[240 + (n-1)40] = 10920
= n[6+n-1] = 546
= n[n+5] = 546
n = 21
The given series
12 24 26.5 79.5 ? 330 follows a pattern that,
12 x 2 = 24
24 + 2.5 = 26.5
26.5 x 3 = 79.5
79.5 + 3 = 82.5
82.5 x 4 = 330
Hence, the missing number is 82.5
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 Where n = number of terms, a1 = first term, an = last term
Here Last term is given by where d = common difference
Now given Arithmetic Series is
2, 5, 8, 11,...
Here a1 = 2, d = 3, n = 36
Now,
Now, Sum to 36 terms is given by
Therefore, Sum to 36 terms of the series 2, 5, 8, 11,... is 1962.
Here the given series 7 18 42 94 204 follows a pattern that,
7
7 ×2+4 = 18
18 ×2+6 = 42
42 ×2+10 = 94
94 ×2+16 = 204
Similarly,
4
4 ×2+4 = 12
12 ×2+6 = 30
30 ×2+10 = 70
70 ×2+16 = 156
Hence, the value of P = 156.
The next number in the series is
143 143 136 110
0 7 26 (Differences)
Pattern is
The given number series is 90 72 56 42 36 20
9 x 10 = 90
8 x 9 = 72
7 x 8 = 56
6 x 7 = 42
5 x 6 = 30 (not 36)
4 x 5 = 20
Hence, the odd man in the given number series is 36.
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