Given the sequence 9,6,3,0..., at what nth term will the number become -24?. Created by ParkYuki. Math

Given the sequence 9,6,3,0..., at what nth term will the number become -24?...

ToyaTodoroki

Verified answer

Question:

Given the sequence 9, 6, 3, 0..., at what nth term will the number become -24?

Answer:

12th nth term will the number become -24.

Step-by-step explanation:

In the sequence 9, 6, 3, 0..., the nth term is 12n - 3. To get the answer, we need to get the -24.

$\sf{}1st \: nth \: term \rightarrow 12n - 3 = 9 \\ \sf{}2nd \: nth \: term \rightarrow 9n - 3 = 6 \\ \sf{}3rd \: nth \: term \rightarrow 6n - 3 = 3 \\ \sf{}4th \: nth \: term \rightarrow 3n - 3 = 0 \\ \sf{}5th \: nth \: term \rightarrow 0n - 3 = (- 3) \\ \sf{}6th \: nth \: term \rightarrow ( - 3n) - 3 = ( - 6) \\ \sf{}7th \: nth \: term \rightarrow ( - 6n) - 3 = ( - 9) \\ \sf{}8th \: nth \: term \rightarrow ( - 9n) - 3 = ( - 12) \\ \sf{}9th \: nth \: term \rightarrow ( - 12n) - 3 = ( - 15) \\ \sf{}10th \: nth \: term \rightarrow ( - 15n) - 3 = ( - 18) \\ \sf{}11th \: nth \: term \rightarrow ( - 18n) - 3 = ( - 21) \\ \sf{} \blue{ \boxed{ \sf{}12th \: nth \: term}} \rightarrow ( - 21n) - 3 = \underline{\sf{}( - 24)}$