2. which of the following are terms of the series with nth term t-3n +17? a) 80 b) 170 c)217 d) 312 e) 278 f) 3566

The correct options are a,b,e and f.

Step-by-step explanation:

It is given that the nth terms of the series is defined as

Subtract 17 from both the sides.

Divide both sides by 3.

The term Tₙ is a term of given series if n is a positive integer.

(a) The given term is 80.

Since n is a positive integer, therefore 80 is a term of given series.

(b) The given term is 170.

Since n is a positive integer, therefore 170 is a term of given series.

(c) The given term is 217.

Since n is not a positive integer, therefore 217 is a term of given series.

(d) The given term is 312.

Since n is not a positive integer, therefore 312 is a term of given series.

(e) The given term is 278.

Since n is a positive integer, therefore 278 is a term of given series.

(f) The given term is 3566.

Since n is a positive integer, therefore 3566 is a term of given series.

Thus, the correct options are a, b, e and f.

bottom left

step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

hope this !

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