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Delicious77 [7]
2 years ago
7

20 is decreased to 11

Mathematics
1 answer:
aleksandrvk [35]2 years ago
3 0
20 minus 9 is decreased to 11

I hope this helps

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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
Solve for c 6/15=2/c
saul85 [17]
\frac{6}{15} = \frac{2}{c}   Multiply both sides by 15
6 = \frac{30}{c}   Multiply both sides by c
6c = 30   Divide both sides by 6
c = 5   
7 0
2 years ago
2(4-8x)+6=-1 interpreting experiessions
Anestetic [448]

Answer:

X = \frac{13}{16}

Step-by-step explanation:

2 (4-8x) + 6 = 1

Multiply parentheses by 2

8 - 16x + 6 = 1

add (8 + 6)

14 - 16x = 1

Move constant to right and change its sign

-16x = 1 -14

Calcualte te difference

-16x = -13

divide bot sides by -16

x = \frac{13}{16}

8 0
3 years ago
Can you guys please help me
VARVARA [1.3K]

Answer:

Number 1 I think sorry if I am incorrect.

8 0
2 years ago
Read 2 more answers
linda scored 35, 47, and 42 points on three tests. how many points should she get on the fourth test to get an average score of
aliya0001 [1]
(35 + 47 + 42 + x) / 4 = 50
(124 + x) / 4 = 50....multiply both sides by 4, cancelling the 4 on the left side.
124 + x = 50 * 4
124 + x = 200
x = 200 - 124
x = 76 <===
6 0
3 years ago
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