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babymother [125]
3 years ago
8

What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms?

Mathematics
2 answers:
lidiya [134]3 years ago
6 0

Answer:

292,968

Step-by-step explanation:

Step 1: Use geometric sequence formula s_n=\frac{a1r^n}{1-r}

S_n & n= the sum of geometric sequence & terms in total (8)

r= common ratio (5)

a_1= first term in sequence (3)

<h2>s_8=\frac{3(5)^(^8^)}{ 1-5 }\\s_8=\frac{(3)390625}{-4}\\s_8= \frac{1171875}{ -4 }\\s_8=292968</h2><h2 />

Firlakuza [10]3 years ago
4 0
If you would like to know the sum of the geometric sequence, you can calculate this using the following steps:

3, 15, 75, 75 * 5 = 375, 375 * 5 = 1875, 1875 * 5 = 9375, 9375 * 5 = 46875, 46875 * 5 = 234375

<span>3 + 15 + 75 + 375 + 1875 + 9375 + 46875 + 234375 = </span>292,968

The correct result would be 292,968.
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vovangra [49]

p(x)=x^{4} - 98x^{2} + 800x - 1599

given x = a is a zero of a polynomial p (x) then

(x - a) is a factor of the polynomial

complex zeros occur in conjugate pairs

5 + 4i is a zero hence 5 - 4i is a zero

factors are (x - 3),(x + 13),(x - (5 + 4i) and (x - (5 - 4i)

The polynomial is the product of it's factors

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expanding the factors

p(x) = (x^{2} + 10x - 39)(x^{2} - 10x + 41)

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3 years ago
Write the equation in standard form for the circle with center (-5, 3) and radius 10.
Vladimir [108]

Answer:

x² + y² +10x -6y - 69 = 0

Step-by-step explanation:

We need to write the standard equation of circle with , centre (-5,3) and radius 10 unit . The Standard equation of the circle ⭕ is ,

=> ( x - (-5))² + (y -3)² = r²

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=> x² + y² +10x -6y - 69 = 0

<h3>• Hence the equation of the circle is x² + y² +10x -6y - 69 = 0.</h3>
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Step-by-step explanation:

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