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11. the twelfth term, t_(12) , in the sequence 43,37,31,25,ldots a. -72 b. -23 c. -6 d. 12

Question

11. The twelfth term, t_(12) , in the sequence 43,37,31,25,ldots A. -72 B. -23 C. -6 D. 12

Solution

Verificación de expertos
4.6 (176 Votos)
Alice Maria Elite · Tutor por 8 anos

Resposta

To find the twelfth term in the sequence, we need to determine the pattern or rule that the sequence follows. Let's examine the given terms:- The first term is 43.- The second term is 37.- The third term is 31.- The fourth term is 25.We can see that each term is decreasing by 6 from the previous term. This is a common difference, indicating that the sequence is an arithmetic sequence.The general formula for the nth term of an arithmetic sequence is given by: where:- is the first term,- is the common difference,- is the term number.For this sequence:- The first term ,- The common difference .We need to find the 12th term ( ): Therefore, the twelfth term in the sequence is:B.