Question:
The first and the last term of an Ap are 20 and 253 respectively. If the common difference is 9, then how many terms are there in the Ap.
Answer:
Given first term a = 20
Last term l = 253
common difference d = 9
Let the number of terms in AP = n
Now,
l = a + (n - 1)d
=> 253 = 20 + (n - 1)9
=> 253 - 20 = 9(n - 1)
=> 233 = 9(n - 1)
=> n -1 = 233/9
=> n - 1 = 25.9
=> n = 25.9 + 1
=> n = 26.9
Since n is not a positive integer.
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