Is 302 a term of the A.P. 3, 8, 13, ...?
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Solution
In the given problem, we are given an A.P and the value of one of its term.
We need to find whether it is a term of the A.P or not.
here we will use the formula, `a_n =a + (n - 1)d`
Here, A.P is 3, 8, 13
`a_n = 302`
a = 3
Now
Common difference (d) = `a_1 - a`
= 8 - 3
= 5
Thus, using the above mentioned formula, we get,
302 = 3 + (n -1)5
302 - 3 = 5n - 5
299 = 5n
`n = 299/5`
Since the value of n is a fraction
Thus 302 is not the term of the given A.P
Thererfore the answer is NO
Concept: Arithmetic Progression
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