Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,

Sn = a1 x (1 - r^n) / (1 - r)

where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,

<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.

4 0

3 years ago

. Select all of the situations below that model this fraction. *

Ne4ueva [31]

Answer:

i think the answer is B, C and D

3 0

3 years ago

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In one day, 18 people each with drew

Nuetrik [128]

Answer:

$1,800 was withdrawn because 18 * 100 = 1,800

7 0

3 years ago

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Given: F(x) = x + 2 and G(x) = 3x + 5<br><br> (F*G) (x) =

vovangra [49]

Answer:

$\boxed{(f \times g)(x) = 3 {x}^{2} + 11x + 10}$

Given:

$f(x) = x + 2 \\ \\ g(x) = 3x + 5$

To Find:

$(f \times g)(x) = f(x) \times g(x)$

Step-by-step explanation:

$= > f(x) \times g(x) = (x + 2)( 3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =x( 3x + 5) + 2(3x + 5) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 5x + 6x + 10\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3 {x}^{2} + 11x + 10$

5 0

3 years ago

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