Respuesta :
The rule is add 1.05 because it's 1.8 first then it's 2.85 so you add 1.05 to 1.8 and you will get 2.85. Same with the other numbers.
Sequence is the way to arrange the number is a systematic order so they form a predictable order.As the given series is in the arithmetic progression sequence the the rule for the sequence will be according to the arithmetic progression sequence. For this series difference of two consecutive number for the given series is 1.05. and the nth term of the given series is,
[tex]T_n=0.75+1.05n[/tex]
What is sequence?
Sequence is the way to arrange the number is a systematic order so they form a predictable order.
Arithmetic progression sequence
- When the numbers are arranged in a way such that the difference between two consultative terms are always same for the whole sequence then it is called the Arithmetic progression sequence.
Geometric progression sequence.
- When the numbers are arranged in a way such that the ratio between two consultative terms are always same for the whole sequence then it is called the geometric progression sequence.
In the given sequence the difference of two consecutive number is,
[tex]2.85-1.8=1.05[/tex]
[tex]3.90-2.85=1.05[/tex]
[tex]4.95-3.90=1.05[/tex]
[tex]6-4.95=1.05[/tex]
Thus the difference of two consecutive number for the given series is 1.05. Hence the given series is in the arithmetic progression sequence.
The nth term for the given series can be calculated as,
[tex]T_n=a+(n-1)d[/tex]
[tex]T_n=1.8+(n-1)1.05[/tex]
[tex]T_n=0.75+1.05n[/tex]
Hence, As the given series is in the arithmetic progression sequence the the rule for the sequence will be according to the arithmetic progression sequence. For this series difference of two consecutive number for the given series is 1.05. and the nth term of the given series is,
[tex]T_n=0.75+1.05n[/tex]
Learn more about the sequence here;
https://brainly.com/question/21961097
