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tresset_1 [31]
3 years ago
13

Can someone help me do this

Mathematics
1 answer:
Andrei [34K]3 years ago
7 0

Answer:

...

Step-by-step explanation:

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Please i need an answer urgently. Sum of 3 terms are 252, first term is 192. Find common ratio
Viefleur [7K]

Answer:

r=\frac{1}{4}\\\\r=-\frac{5}{4}

Step-by-step explanation:

<u>Geometric Sequences</u>

The geometric sequence is given as:

a_1, a_1r, a_1r^2, a_1r^3,..., a_1r^{n-1}

Where n is the number of the term, n≥1, and r is the common ratio.

The sum of n terms of the geometric sequence is given by:

\displaystyle S_n=a_1\frac{r^n-1}{r-1}

We are given: S3=252, a1=192, thus substuting:

\displaystyle 252=192\frac{r^3-1}{r-1}

Dividing by 12:

\displaystyle 21=16\frac{r^3-1}{r-1}

Recall that:

r^3-1=(r-1)(r^2+r+1)

Substituting:

\displaystyle 21=16\frac{(r-1)(r^2+r+1)}{r-1}

Simplifying:

21=16(r^2+r+1)=16r^2+16r+16

Rearranging:

16r^2+16r+16-21=0

16r^2+16r-5=0

Rewriting:

16r^2-4r+20r-5=0

Factoring:

4r(4r-1)+5(4r-1)=0

(4r-1)(4r+5)=0

Solving:

r=\frac{1}{4}\\\\r=-\frac{5}{4}

Both solutions are valid

6 0
3 years ago
&gt;…_~§-+*First Answer Gets Brainliest*+-§~_…&lt;<br> Questions In the picture!
zysi [14]

Answer:

1. If x=5, 3*5=15, 15*15=225 + y (3) = 228.

2. If y=4, then 10*4 = 40, 4^2 is 16, so 40 + 16 is 56.

I might be wrong, but the first one you answered, x^2, x= 1/2, I think that is wrong. when something is squared, you don't go, "Oh, well since 1/2 equals 1, that's the answer." The way to figure out something like this is... 1/2 times 1/2, which is .25, or 1/4. Another example: 3^5 . The way to find this out is 3*3*3*3*3 = 243. But  you don't go 3*5, because that answer would be 15, which is not correct.

7 0
3 years ago
Questions is <br><br>1)what two bodies of water do the coastal lowlands border
Katena32 [7]
Im pretty sure that the answe would be northern plains
3 0
3 years ago
(-3,9) what quadrant
GalinKa [24]

Answer:

3

Step-by-step explanation:

8 0
3 years ago
The ratio for 3 turnovers : 12 assists write the ratio as a fraction in simplest form?
melamori03 [73]

Answer: 1:4

Step-by-step explanation:

3:12 written as a fraction is 3/12

Simplify:

3/12 = 1/4

5 0
3 years ago
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