Respuesta :
Answer:
The value of the 110th term of the sequence -7 , 3 , 13 , 23 is 1083 .
Step-by-step explanation:
Airthmetic sequence is given by
[tex]a_{n} = a_{1} + (n-1)d[/tex]
Where [tex]a_{n}[/tex] is the nth term , [tex]a_{1}[/tex] is the first term and d is the common difference .
[tex]d = a_{2}-a_{1}[/tex]
As given the series
-7 , 3 , 13 , 23 ....
[tex]a_{1} =-7[/tex]
[tex]a_{2} =3[/tex]
[tex]d = 3-(-7)[/tex]
d =10
Put all the values in the [tex]a_{n} = a_{1} + (n-1)d[/tex].
[tex]a_{110} = -7+ (110-1)\times 10[/tex]
= -7 + 109 × 10
= -7 + 1090
[tex]a_{110} = 1083[/tex]
Therefore the value of the 110th term of the sequence -7 , 3 , 13 , 23 is 1083 .
Answer:
he value of the 110th term of the sequence -7 , 3 , 13 , 23 is 1083 .
