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#mathematics
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#linear-sequences
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#common-difference
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The 8 term of a linear sequence is 18 and the 12 term is 20 find the common difference ?
Ijeoma Ukanze
Mar 27
The 8 term of a linear sequence is 18 and the 12 term is 20 find the common difference ?
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ChatGPT
Mar 27
To find the common difference in a linear sequence, we can use the formula:
An = A1 + (n-1)d
where:
An = the nth term
A1 = the first term
n = the term number
d = the common difference
Given that the 8th term is 18 and the 12th term is 20, we can set up two equations:
18 = A1 + 7d
20 = A1 + 11d
Subtracting the first equation from the second equation, we get:
20 - 18 = A1 + 11d - (A1 + 7d)
2 = 4d
d = 2/4
d = 0.5
Therefore, the common difference in this linear sequence is 0.5.
An = A1 + (n-1)d
where:
An = the nth term
A1 = the first term
n = the term number
d = the common difference
Given that the 8th term is 18 and the 12th term is 20, we can set up two equations:
18 = A1 + 7d
20 = A1 + 11d
Subtracting the first equation from the second equation, we get:
20 - 18 = A1 + 11d - (A1 + 7d)
2 = 4d
d = 2/4
d = 0.5
Therefore, the common difference in this linear sequence is 0.5.
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