Choose the correct answer in each of the following questions:

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.

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