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34kurt
3 years ago
11

Please help me answer this!!!

Mathematics
1 answer:
Bess [88]3 years ago
4 0

a_1 is the first term of the sequence, which is \boxed{-4}.

r is the common ratio of the sequence, the number that you multiply one term by to generate the next term. Here, we see that multiplying by -2 will generate the next term, so \boxed{r=-2}.

We use the formula S_n=\frac{a_1(r^n-1)}{r-1} to find the sum of the first 6 terms - just plug in our values for a_1 and r:

S_6=\frac{-4((-2)^6-1)}{-3}=\frac{-4(63)}{-3}=\boxed{84}.

You might be interested in
Identify a1 r and n for the sum of the geometric sequence. 1/2 + 3/8 + 9/32 + 27/128 + 81/512
Bess [88]

Answer:

a1=1/2


r=3/4


n=5

Step-by-step explanation:

a1 is the first term in the geometric series


a1=1/2  


r is the common ratio of the first and second term


r=(3/8)/(1/2)


r=3/4



where n is the no of the term in the geometric series

In algebra, the polynomial remainder theorem or little Bézout's theorem is an application of Euclidean division of polynomials. It expresses that the rest of the division of a polynomial by a direct polynomial is equivalent to. Specifically, is a divisor of if and just if a property known as the factor hypothesis.

The number multiplied at each stage of a geometric sequence is called its common ratio.



4 0
3 years ago
Read 2 more answers
I don’t know what to do
n200080 [17]

Answer:

x = 7

y = 12

Step-by-step explanation:

To do this question you have to know your exponent rules, but also you need to know how to add fractions.

To multiply

6^(1/3) × 6^(1/4)

you can keep the 6 and just add the exponents.

That's why the answer is set up on the form 6^(x/y)

To add fractions, you need a common denominator, it is 12.

1/3 is 4/12.

1/4 is 3/12.

So 1/3 + 1/4

is the same as:

4/12 + 3/12

= 7/12

7/12 is the exponent you are looking for.

x = 7 and y = 12.

6^(1/3) × 6^(1/4)

=6^(7/12)

4 0
2 years ago
2 Describe the solution set of y=8
Vedmedyk [2.9K]

Answer:

what is your question there is no equation

7 0
3 years ago
the perimeter of this quarter circle with radius, r = 32mm. Give your answer as an expression in terms of π.
djverab [1.8K]

Answer:

16π + 64

Step-by-step explanation:

So the whole circumference is 64π

A quarter is 16π

Then you just have to account for the two radii.

16π + 64

3 0
3 years ago
Read 2 more answers
10^8/10^4 Simplify the expression. Write your answer as a power.
Andru [333]
<h3>Answer:   10^4</h3>

This is an exponential expression with 10 as the base and 4 as the exponent.

=============================================

Explanation:

We're dividing 10^8 over 10^4. When dividing like this, we subtract the exponents (numerator minus denominator). The bases must be the same value and they stay at the same value for the final answer as well.

The new exponent is 8-4 = 4 which is how we arrive at the answer 10^4.

Side note: 10^4 = 10,000 = ten thousand

7 0
3 years ago
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