Question:
Choose the correct answer in each of the following questions:
An AP 5, 12, 19, ... has 50 terms. Its last term is
(a) 343
(b) 353
(c) 348
(d) 362
Solution:
The given AP is 5, 12, 19, ... .
Here, a = 5, d = 12 − 5 = 7 and n = 50
Since there are 50 terms in the AP, so the last term of the AP is a50.
$a_{50}=5+(50-1) \times 7 \quad\left[a_{n}=a+(n-1) d\right]$
$=5+343$
$=348$
Thus, the last term of the AP is 348.
Hence, the correct answer is option C.