What is the nth term rule of the linear sequence below
5, 8, 11, 14, 17, ...
Tn=

The 12th term is 38

Step-by-step explanation:

Step one:

given the sequence 5, 8, 11, 14, 17, ...

We are required to find the nth term

the formula to find the nth term is given as

Tn = a1 + (n - 1 ) d

a1= the first term

n= the number of terms

d= the common difference

d = 8-5= 3 or 11-8= 3

Step two:

Now say we want to find the 12th term of the sequence n=12

substitute

T12= 5+(12-1)3

T12= 5+(11)3

T12= 5+33

T12= 38

The above formula is used to find the general (or nth) term of an arithmetic sequence.

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length