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2 years ago

Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.

2 answers:

8 0

Use formula: an = a1 * r^(n-1)
a1 = 2, r = -2
a12 = 2 * -2^(12-1)
a12 = 2 * -2^11
a12 = 2 * -2048
a12 = -4096

Solution: -4096

Ainat [17]2 years ago

3 0

Answer: -4096

Step-by-step explanation:

I just did the lesson

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Simplify equations HELP NOW!!

Anna [14]

Answer:

$\frac{1}{5} (2x+10)=4$ $x=5$

$\frac{1}{3} (3x+9)=9$ $x=6$

Step-by-step explanation:

$\frac{1}{5} (2x+10)=4$

Multiply both sides of the equation by 5.

5 · $\frac{1}{5}$ · $(2x+10)=$ 5 · 4

Simplify both sides of the equation.

$2x+10=20$

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Divide each term by 2 and simplify.

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--------------------------------------------------------------------

$\frac{1}{3} (3x+9)=9$

Substitute x for 6

$\frac{1}{3} (3(6)+9)=9$

Multiply 3 · 6

$\frac{1}{3} ((18)+9)=9$

Add 18 + 9

$\frac{1}{3} (27)=9$

Divide $\frac{1}{3}$ ÷ 27

9 = 9

6 0

2 years ago

If a thousand dollars is put into a bank account each year the account earns 7% simple interest in 4 years how much interest wou

ser-zykov [4K]

Answer:

$280

Step-by-step explanation:

According to the problem, calculation of the given data are as follows:

Principal amount (P) = $1,000

Rate of interest (r) = 7%

Time period (t) = 4 years

Here we use simple interest formula to calculate interest after 4 years.

I = P × r × t

By putting the value, we get

I = $1,000 × 7% × 4

= $70 × 4

= $280

8 0

2 years ago