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Marrrta [24]
3 years ago
5

Find the 11th term of the geometric sequence 2, -6, 18, ...

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
5 0
R = a₂/a₁ = -3
a₁₁ = a₁r¹⁰ = 2×(-3)¹⁰ = 118,098
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5 times the difference of 29 and a number is 215. Which equation below can be used to find the unknown number?
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5 times 7/8 will be greater than, less than, or equal to 7/8
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3 0
3 years ago
Consider the sum of cubes identity
Leni [432]

Answer:

a = 2x

b = 3

Step-by-step explanation:

Consider the sum of cubes identity

a³ + b³ =(a + b)(a² -ab +b²)

for the polynomial 8x³ +27, we factorise

8x³ + 27

∛8 = 2

∛8 = x

∛27 = 3

Therefore, we can say that :

8x³ + 27 = (2x)³ + 3³

Using this: a³ + b³ =(a + b)(a² -ab +b²)

We can say that

a = 2x

b = 3

To confirm that: a = 2x and b = 3 we factorise 8x³ + 27

= (2x)³ + 3³

= (2x + 3)((2x)²− 2x × 3 + 3²)

= (2x + 3)(4x² - 6x + 9)

= 8x³ - 12x² +18x + 12x² - 18x + 27

= 8x³ + 27

Therefore, a = 2x and b = 3 is correct.

=

8 0
3 years ago
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