Question

find the specified term of each arithmetic sequence 10, -2, -14, ... the 17th term

Answer 1

Let the first term be a=10 ,
And common difference d= -12

:. 17th term = 10 + ( 17 -1 ) ( -12 )

=10 - (16×12)
=10 -192
= -182



Hope it helps you. . . .

Answer 2

First term => a => 10
Common Difference => d => -2 - 10 => -12


Hence,

17th term = a + 16d 
                 = 10 + 16(-12)
                 = 10 - 192
                 = -182