Sum of the first 100 Odd Numbers

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Calculate the sum of the following

The first 100 Odd Numbers

Σ n Odd Numbers formula:

S₁₀₀ = n²

S₁₀₀ = 100²

S₁₀₀ = 10,000

Average (A) of the first 100 Odd Numbers

A  =	Sum of the first 100 Odd Numbers
	Count

A  =	10000
	100

Average (A) of the first 100 Odd Numbers = 100

Sum of the first 100 Odd Numbers

n	On
1	1
2	3
3	5
4	7
5	9
6	11
7	13
8	15
9	17
10	19
11	21
12	23
13	25
14	27
15	29
16	31
17	33
18	35
19	37
20	39
21	41
22	43
23	45
24	47
25	49
26	51
27	53
28	55
29	57
30	59
31	61
32	63
33	65
34	67
35	69
36	71
37	73
38	75
39	77
40	79
41	81
42	83
43	85
44	87
45	89
46	91
47	93
48	95
49	97
50	99
51	101
52	103
53	105
54	107
55	109
56	111
57	113
58	115
59	117
60	119
61	121
62	123
63	125
64	127
65	129
66	131
67	133
68	135
69	137
70	139
71	141
72	143
73	145
74	147
75	149
76	151
77	153
78	155
79	157
80	159
81	161
82	163
83	165
84	167
85	169
86	171
87	173
88	175
89	177
90	179
91	181
92	183
93	185
94	187
95	189
96	191
97	193
98	195
99	197
100	199

Final Answer

S₁₀₀ = 10,000
Average (A) of the first 100 Odd Numbers = 100

You have 1 free calculations remaining

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What is the Answer?

S₁₀₀ = 10,000
Average (A) of the first 100 Odd Numbers = 100

How does the Sum of the First (n) Numbers Calculator work?

Free Sum of the First (n) Numbers Calculator - Determines the sum of the first (n)
* Whole Numbers
* Natural Numbers
* Even Numbers
* Odd Numbers
* Square Numbers
* Cube Numbers
* Fourth Power Numbers
This calculator has 1 input.

What 7 formulas are used for the Sum of the First (n) Numbers Calculator?

Sum of the first n whole numbers = n(n - 1)/2
Sum of the first n natural numbers = n(n - 1)/2
Sum of the first n even numbers = n(n - 1)
Sum of the first n odd numbers = n²
Sum of the first n square numbers = n(n + 1)(2n + 1)/6
Sum of the first n cube numbers = n²(n + 1)²/4
Sum of the first n fourth power numbers = n(n + 1)(2n + 1)(3n² + 3n - 1)/30

For more math formulas, check out our Formula Dossier

What 7 concepts are covered in the Sum of the First (n) Numbers Calculator?

even number

a whole number that is able to be divided by two into two equal whole numbers

integer

a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

natural number

the positive integers (whole numbers)
1, 2, 3, ...

odd number

a whole number that is not able to be divided by two into two equal whole numbers

sum

the total amount resulting from the addition of two or more numbers, amounts, or items

sum of the first (n) numbers

whole number

numbers that include natural numbers and zero
{0, 1, 2, 3, ...}

Example calculations for the Sum of the First (n) Numbers Calculator

Sum of the First (n) Numbers Calculator Video

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