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NemiM [27]
3 years ago
10

What is the answer to this?? thank u if u help me! :)

Mathematics
1 answer:
solong [7]3 years ago
5 0
I think it’s 3 I’m not sure
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Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
6 0
3 years ago
Find the area of this shape below
rjkz [21]

Answer: 28                      

Step-by-step explanation:

2 × 8 = 16

8 + 4 = 12

12 ÷ 2 = 6

6 × 2 = 12

16 + 12 = 28

6 0
3 years ago
Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is high
mihalych1998 [28]

Answer: $1,200 + 5.5% + $45,000= 46200.055 or 46200

Step-by-step explanation: All you have to do is just add because if you read the text it has a key word total.

Caleb has a guaranteed minimum salary of $1,200 per month, or 5.5% of his total monthly sales (as commission), whichever is higher. Last month, his <u>total </u>sales were $45,000. What was his gross pay?​

5 0
3 years ago
Stacie had a meal that cost $36.00. If she tipped the waited 18% of the total bill for the service, How much was the tip?
Dovator [93]

18% = 0.18

Tip = $36.00 x 0.18 = $6.48

Total bill = $36.00 + $6.48 = $42.48

Answer:

Total bill = $42.48

Tip = $6.48

6 0
3 years ago
What is 4 dogs with 12 legs
maxonik [38]
A dinosaur bc dinosaurs have lots of kegs
5 0
3 years ago
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