Answer:
[tex]\huge \boxed{\mathrm{\bold{C.} \ 44286}}[/tex]
Step-by-step explanation:
-3, 9, -27, 81...
The common ratio can be found by taking the quotient of a term in the sequence and the previous term.
[tex]\displaystyle \frac{9}{-3} =-3[/tex]
The common ratio is -3.
A term in the sequence multiplies itself by -3 to get the next term.
The nth term for the sequence is : [tex]a_n=(-3)^n[/tex]
The first 10 terms of the sequence are :
-3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049
Adding these 10 terms :
-3 + 9 + -27 + 81 + -243 + 729 + -2187 + 6561 + -19683 + 59049
⇒ 44286
