如何找到共同点？
算术是数论的根源，它涉及处理数字并对数字进行各种运算，包括加减乘除等。以创建模式的方式排列这些数字称为级数。让我们更多地了解他们，
进展
级数是按特定顺序排列的数字，以便它们形成可预测的顺序。这意味着我们可以从该系列中预测该系列或序列的下一个数字。例如 2, 4, 6, 8, 10,... 这是偶数自然数的级数。级数可以是算术、几何、谐波和斐波那契。让我们详细了解算术级数。
算术级数是数字序列，其中任何两个连续数字之间的差异在整个序列中都是相同的。它也可以是该系列的共同点。
寻找共同点
一个共同的差异是等差数列中两个连续数字之间的差异。它只是通过取等差数列中第二项与第一项之间的差或第三项与第二项之间的差或数列中两个连续数字中的任何一个来计算。共同差异可以是积极的，也可以是消极的。共同差异表示为“d”。假设算术级数表示为
一个1 ，一个2 ，一个3 ，……一个n
共同的差异将给出为，
d = a 2 – a 1 = a 3 – a 2 = a n – a n-1
示例问题
问题 1：找出算术级数的共同差 - 2、5、8、11、14……
解决方案：
Arithmetic Sequence : 2, 5, 8, 11, 14,…
Common Difference = Second Term – First Term
= 5 – 2
= 3
Now lets take third and the second term
Common Difference = Third Term – Second Term
= 8 – 5
= 3
Here, also the common difference is same. It proves that 3 is the common difference of 2, 5, 8, 11, 14,... arithmetic
sequence.
问题 2：找出算术序列的共同差 - 5, 5, 5, 5,...
解决方案：
It can also be the case where the common difference is 0. It will be the case when the arithmetic sequence will be of all same numbers.
Arithmetic Sequence : 5, 5, 5, 5, 5,….
Common Difference = Second Term – First Term
= 5 – 5
= 0
Here, you can see that the common difference is 0 for 5, 5, 5, 5, 5,… arithmetic sequence
问题 3：找出算术级数的共同差 - 1/2, 3/2, 5/2, 7/2,...
解决方案：
Arithmetic Sequence : 1/2, 3/2, 5/2, 7/2,…
Common Difference = Second Term – First Term
= 3/2 – 1/2
= 1
Let’s verify by taking the fourth term and the third term
Common Difference = Fourth Term – Third Term
= 7/2 – 5/2
= 1
The common difference for the 1/2, 3/2, 5/2, 7/2,… arithmetic sequence is 1
问题 4：求算术级数的共同差 - -3, -1, 1, 3, 5,...
解决方案：
Arithmetic Sequence : –3, -1, 1, 3, 5,…
Common Difference = Second Term – First Term
= (-1) – (-3)
= -1 + 3
= 2
Let’s verify by taking the fourth term and the third term
Common Difference = Fourth Term – Third Term
= 3 – 1
= 2
The common difference for the -3, -1, 1, 3, 5,… arithmetic sequence is 2