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