If the common difference of an ap is 5 then find the value of a18-a5
Question
If the common difference of an ap is 5 then find the value of a18-a5
Solution
The formula for the nth term of an arithmetic progression (AP) is a_n = a + (n-1)d, where a is the first term, d is the common difference, and n is the term number.
Given that the common difference (d) is 5, we can use this formula to find the 18th term (a18) and the 5th term (a5).
a18 = a + (18-1)5 = a + 85 a5 = a + (5-1)5 = a + 20
The question asks for the value of a18 - a5, so we subtract the second equation from the first:
a18 - a5 = (a + 85) - (a + 20) = 65
So, the value of a18 - a5 is 65.
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