How do u write a rule for th sequence to find the unknown term? 56.38, 51.28, 46.18, 41.08

The next term in sequence is 35.98

The rule for nth term of sequence is Where, n > 0 ( n =1, 2, 3, ....)

Solution:

Given sequence is:

56.38, 51.28, 46.18, 41.08

Let us first find the difference between the terms

Thus the difference between next term and previous term is same

Next term will be,

41.08 - 5.1 = 35.98

Thus the next term in sequence is 35.98

Therefore, the sequence is arithmetic sequence

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

The formula for nth term of arithmetic sequence is given as:

Where,

= nᵗʰ term in the sequence

= the first term in the sequence

d = the common difference between terms

Here in this sequence

d = -5.1

Therefore,

Where, n > 0 ( n =1, 2, 3, ....)

Thus the rule to find nth term is found

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft       60 sec     60 min     158400   ft

  *   *   =

1 sec       1 min       1 hour         hour

we know that there are 5280 ft per mile

158400   ft       1 mile         30 miles

  *   =

1   hour               5280 ft     1 hour

so in 1 hour   it can travel 30 miles