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BigorU [14]
3 years ago
5

Find the sum of the first 6 terms in the sequence -5 -25 -125 -625

Mathematics
1 answer:
sashaice [31]3 years ago
5 0
This is a geometric sequence, so use the formula for the sum of a geometric sequence:
Sum = (a(r^n - 1))/(r - 1)
where a is the first term, -5
r is the common ratio, 5
and n is the number of terms

Thus,
Sum = ((-5)(5^6 - 1))/(5-1) = -19530
You might be interested in
According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 f
hjlf

Answer:

Number of families will have both radio and television = 44

Step-by-step explanation:

Given:

Number of family have radio = 794

Number of family have TV = 187

Number of family haven't both = 63

Find:

Number of families will have both radio and television

Computation:

Number of families will have Tv or radio = 1,000 - 63

Number of families will have Tv or radio = 937

Number of family have one of them = 794 + 187

Number of family have one of them = 981

Number of families will have both radio and television = 981 - 937

Number of families will have both radio and television = 44

4 0
2 years ago
6000 for 6 years at 81/2 % compounded daily will grow to a) $9.990.02 b)9.060.00 c) 9788.81 d)9991.15
Flura [38]

Answer:

d)9991.15

Step-by-step explanation:

We have a sum of money ($6000) compounded daily at an annual interest rate of 8.5% for 6 years.

If the interest is compound daily, and we take a m=365 days a year (or 365 subperiods m), the daily nominal interest rate is:

i_d=\dfrac{i}{m}=\dfrac{0.085}{365}=0.000232877

Then, we can express the final valueo of $6000 compounded daily at an annual interest rate of 8.5% for 6 years as:

FV=IV\left(1+\dfrac{i}{m}\right)^{n\cdot m}\\\\\\FV=6000(1+0.000232877)^{6\cdot 365}\\\\FV=6000(1.000232877)^{2190}\\\\FV=6000\cdot1.665192322\\\\FV\approx9991.15

4 0
3 years ago
7j+5-8k when j =0.5 and k =0.25
Zinaida [17]
Evaluate is just a fancy term for solve.
So to start you’ll want to substitute in the values that you are given and the just solve the sum.
I really hope this was helpful.
7 0
2 years ago
Help Please! Will mark brainliest. =) Need help on two questions. See photos.
Mashcka [7]
When all sides of a quadrilateral are equal (indicated by tick marks on the four sides) in length and connect the opposing vertices with a line, it will form four 90° angles. Therefore, each equation will equal 90.

10x= 90

x+y= 90

3z= 90

The measure of angles 1 and 3 can be solved as they are so:

10x= 90 ➡️ x=9

3z= 90 ➡️ z= 30

The value of x is needed to solve for the measure of angle 2 so plug in the value of x and solve:

x+y= 90

9+y= 90

y= 81

Therefore the answer is a.
6 0
3 years ago
How do you get the answer (3/7)w-11=-(4/7)w
inn [45]
Subtract 3/7 from both sides to leave you with -11=1/7w chang 1/7 to a decimal -11=.14w dived both side by .14 your answer then is -78.57=w
6 0
2 years ago
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