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Paladinen [302]
3 years ago
10

Given the below sequence:

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

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

t_{n} = a+(n-1)d

First term is a = -1 and difference is d = -2

finding fifth term is

t_{5} = -1 +(5-1)(-2)

t_{5} = -1-8 =-9

finding sixth term is

t_{6} = -1 +(6-1)(-2)

t_{6} = -1-10 =-11

finding seventh term is

t_{7} = -1 + (7-1)(-2)

t_{7} = -1 -12 =-13

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

t_{n} = a+(n-1)d

a= -1 and d =-2

<u>find 27 t h term :-</u>

<u></u>t_{27} = -1 + (27-1)(-2) = -1-52=-53<u></u>

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