ARITHMETIC PROGRESSIONS
11
Example 6 : Check whether 301 is a term of the list of numbers 5, 11, 17, 23, ...
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Answer:
301 don't lie in the given A.P.
Step-by-step explanation:
Let a(n) = 301
We Know,
a(n) = a + (n -1)d
Given A.P. : 5 , 11 , 17 , 23 , ...
Here, a = 5 , d = 11 -5 = 6 , n = ?
Now, if 301 is a term of the given A.P., then n will be a natural number.
301 = 5 + (n -1) * 6
301 - 5 = 6n - 6
6n = 302
n = 302 / 6
n = 50.3333333333333333333....
Since n is not a natural number, 301 don't lie in the given A.P.
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