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3 years ago

I need to find the 9th term of this sequence

Mathematics

1 answer:

Sindrei [870]3 years ago

8 0

9514 1404 393

Answer:

26,244

Step-by-step explanation:

The sequence is geometric with a common ratio of -3. The general term is ...

an = (a1)r^(n-1)

The first term is 4, so we have ...

an = 4·(-3)^(n-1)

For n=9, we find the 9th term to be ...

a9 = 4·(-3)^(9-1) = 4·3^8

a9 = 26,244

_____

<em>Additional comment</em>

When -3 is raised to an even power, the sign of the product is positive, the same as 3 raised to that power.

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I need help with this please!!

vovangra [49]

Answer:

${6x}^{3} + {9x}^{2} - 18x + 3$

Step-by-step explanation:

1. Expand by distributing sum groups. $3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)$

2. Expand by distributing terms.

${6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)$

3.Expand by distributing terms.

${6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)$

4. Remove parentheses.

${6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3$

5. Collect like terms.

${6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3$

6. Simplify.

${6x}^{3} + {9x}^{2} - 18x + 3$

Thus. the answer is,

${6x}^{3} + {9x}^{2} - 18x + 3$

5 0

3 years ago

Multiply the exponential terms

Tcecarenko [31]

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7 0

4 years ago

Can someone please answer this question I need it today please show work and please answer it correctly i

svlad2 [7]

Answer:

24) $495

25) 14%

26) 25/X = 83/100

27) 0.7p

28) x + .085x and 1.085x

29) $221.90

30) $24.10

31) $6.13

32) 40%

Step-by-step explanation:

24) 600 - (600 × 0.25) = 450

450 × 1.10 = 495

25) (106 - 93) ÷ 93 = 0.13978

0.13978 × 100 = 13.978 ~ 14

27) 1.0 - 0.3 = 0.7

28) 1.00 + 0.085 = 1.085

29) 100% - 15% = 85%

240 × 0.85 = 204

204 × 1.0875 = 221.85

30) 25.89 × 4 = 103.56

103.56 + 179.99 = 283.55

283.55 × 0.085 = 24.10175

31) 8.75 × 0.70 = 6.125

32) 80 - (80 × 0.40) = 48

4 0

4 years ago

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Oxana [17]

5,6,7,4,3,1,2

Hope it helps?

3 0

4 years ago

Read 2 more answers

Round 8.85 to the nearest hundredths.

geniusboy [140]

Answer: 8.85 rounded to the nearest hundredths place is 8.85

Step-by-step explanation:

The hundredths place is at 0.0x <--(where the x is).

So rounding from the thousandths to the hundredths is $8.850 = 8.85$

Simply put, 8.85 is rounded to the nearest hundredths itself already.

Rounding to the nearest <em>10th </em>place however, would give you 8.9.

Hope this helps!

6 0

3 years ago

Read 2 more answers