Question

Write an equation for the nth term of the arithmetic seqeuence. The -6, -9, -12, -15, ...

Answer 1

Answer:

The nth term of the given sequence is given by  a(n)  = -3(1  + n)

Step-by-step explanation:

The given  AP sequence is  -6, -9, -12, -15, ...

Here, the first term = -6

The common difference (d) = a 2  - a 1  

= -9  - (-6)  = -9  + 6  

= -3

⇒ d  = - 3

Now, nth term of the Arithmetic Sequence is  $a_n = a+ (n-1)d$

⇒ a(n)  = -6 + (n-1) (-3)

= -6   -3n + 3

= -3 - 3n

or, a(n)  = -3(1  + n)

Hence, the nth term of the given sequence is given by  a(n)  = -3(1  + n)