WAEC 2024 · Paper 1 · Q3

Sequences & series (AP, GP)

The first term of an Arithmetic Progression (A.P.) is 2 and the last term is 29. If the common difference is 3, how many terms are in the A.P.?

Worked solution (try it first)

The last term is the $n$ th term, $a + (n - 1)d$ , so $2 + 3(n - 1) = 29$ .
Subtract 2: $3(n - 1) = 27$ , so $n - 1 = 9$ .
So $n = 10$ , option C.

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