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Find the common difference in an arithmetic sequence whose a2= 1, a5= 7.

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In an arithmetic sequence, the common difference (d) is the constant difference between any two consecutive terms. To find the common difference, u can use the formula:

an = a1 + (n-1)d

where an is the nth term of the sequence, a1 is the first term, and d is the common difference.

U are given that a2 = 1 and a5 = 7. Using the above formula, u can write:

a2 = a1 + d
1 = a1 + d

a5 = a1 + 4d
7 = a1 + 4d

Subtracting the first equation from the second equation, u get:

6 = 3d

d = 2

Therefore, the common difference in the arithmetic sequence is 2.
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