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2 years ago

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

Mathematics

2 answers:

Mariana [72]2 years ago

6 0

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

sdas [7]2 years ago

4 0

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

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3 years ago

A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co

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Answer:

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Step-by-step explanation:

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$\displaystyle \vec{v_1}=\ km/h$

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$\displaystyle \vec{v_2}=km/h$

The displacement in 1 hour is

$\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)$

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3 years ago

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Substituting in the formula:

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