Find the 17th term of the of the arithmetic sequence-5,0,5,10

The n-th term for an arithmetic sequence with a common difference of 5 and a first term of - 5 is given by

a (n) = - 5 + 5 (n-1)

or

a (n) = 5n - 10

The 17th term is found by evaluating this for n=17.

a17 = 5·17 - 10

a17 = 75

An=a1+d (n-1)

first term is - 5 (only way for it to make sense)

common difference is proabtly 5

an=-5+5 (n-1)

17th term

an=-5+5 (17-1)

an=-5+5 (16)

an=-5+80

an=75

17th term is 75