Multiple choice

Which one of the following denotes the 19th term in the following sequence? 7, 3, -1, -5, ......

  1. -77

  2. -75

  3. -66

  4. -65

  5. None of these
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D Correct answer
Explanation

Arithmetic progression: a = 7, d = -4. 19th term = a + (n-1)d = 7 + (18)(-4) = 7 - 72 = -65.

AI explanation

This sequence follows the arithmetic progression method, with a first term of 7 and a common difference of negative 4. The formula for the nth term of an arithmetic progression is a plus the quantity n minus 1 times d. Applying this formula for the 19th term gives 7 plus 18 times negative 4, which equals 7 minus 72, resulting in negative 65.

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