Respuesta :
Answer:
a) The next three terms are -1,-3,-5,-7,-9,-11,-13
b) This is arithmetic sequence
C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.
d) The 27 th term is -53
Step-by-step explanation:
a) the given sequence is arithmetic sequence
the difference of second term and first term is -2
given sequence is -1,-3,-5,-7.....
the nth term in arithmetic sequence
[tex]t_{n} = a+(n-1)d[/tex]
First term is a = -1 and difference is d = -2
finding fifth term is
[tex]t_{5} = -1 +(5-1)(-2)[/tex]
[tex]t_{5} = -1-8 =-9[/tex]
finding sixth term is
[tex]t_{6} = -1 +(6-1)(-2)[/tex]
[tex]t_{6} = -1-10 =-11[/tex]
finding seventh term is
[tex]t_{7} = -1 + (7-1)(-2)[/tex]
[tex]t_{7} = -1 -12 =-13[/tex]
The next three terms are -9,-11,-13
The given sequence is -1,-3,-5,-7,-9,-11,-13
b) This is arithmetic sequence.
C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.
d) by using nth term formula in arithmetic sequence
[tex]t_{n} = a+(n-1)d[/tex]
a= -1 and d =-2
find 27 t h term :-
[tex]t_{27} = -1 + (27-1)(-2) = -1-52=-53[/tex]
