Multiple choice

Find the difference between 306th and 274th term of the given sequence. 19, 38, 57, ...

  1. 602

  2. 606

  3. 608

  4. 612
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C Correct answer
Explanation

The sequence is an AP with a=19 and d=19. The n-th term is 19n. The difference between the 306th and 274th term is 19(306 - 274) = 19 * 32 = 608.

AI explanation

The given sequence is an arithmetic progression with the first term as 19 and the common difference as 19. The formula for the nth term is a plus the quantity of n minus 1 times d, so the difference between the 306th term and the 274th term is 19 times 306 minus 19 times 274. Factoring out the 19, we calculate 19 times the quantity 306 minus 274, which equals 19 times 32, giving the result 608.

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