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How many terms are there in the finite AP $7,\ 13,\ 19,\ \ldots,\ 205$?
A34
B32
C33
D35
Answer & Solution
Correct answer: A. 34
1. a = 7, d = 6, last term l = 205.
2. $l = a + (n-1)d \Rightarrow 205 = 7 + (n-1)6 \Rightarrow (n-1)6 = 198$.
3. $n - 1 = 33 \Rightarrow n = 34$ terms.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch1 'Arithmetic Progressions' (number of terms)_
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