Question

Please hurry, Find the sum of the first 10 terms in the series:

Answer 1

Answer:

44,286

Step-by-step explanation:

The rule is multiplying by -3.

The sequence goes -3, 9, -27, 81, -243, 729, -2187, 6561, -19683, 59049

Add all of those up and you get 44,286

Answer 2

Answer:

$\huge \boxed{\mathrm{\bold{C.} \ 44286}}$

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.

$\displaystyle \frac{9}{-3} =-3$

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 : $a_n=(-3)^n$

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