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3 years ago

7th grade math help lol

Mathematics

1 answer:

ELEN [110]3 years ago

7 0

Step-by-step explanation:

F and C, I think those are the only ones

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3 years ago

Which of the following is a counterexample to "the sum of two numbers is always greater than either of the numbers"?

vladimir2022 [97]

Answer:

-6 +12

Step-by-step explanation:

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3 years ago

Jerome is a co-worker of a small company and received 1/3 of the company's profits this year. What were the companys overall pro

dangina [55]

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3 years ago

A drama club earns $1040 from a production. A total of 64 adult tickets and and 132 student tickets are sold. An adult ticket co

CaHeK987 [17]

A=adult ticket           s=student ticket

64a+132s=$1040
a=2s
128a+132s=$1040
260tickets=$1040
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5 0

3 years ago

Use sigma notation to represent the sum of the first seven terms of the following sequence -4,-6,-8.....

lina2011 [118]

Answer:Answer:

$\sum\left {{7} \atop {1}} \right -n(3+n)$

Step-by-step explanation:

Given the sequence -4,-6,-8..., in order to get sigma notation to represent the sum of the first seven terms of the sequence, we need to first calculate the sum of the first seven terms of the sequence as shown;

The sum of an arithmetic series is expressed as $S_n = \frac{n}{2}[2a+(n-1)d]$

n is the number of terms

a is the first term of the sequence

d is the common difference

Given parameters

n = 7, a = -4 and d = -6-(-4) = -8-(-6) = -2

Required

Sum of the first seven terms of the sequence

$S_7 = \frac{7}{2}[2(-4)+(7-1)(-2)]\\\\S_7 = \frac{7}{2}[-8+(6)(-2)]\\\\S_7 = \frac{7}{2}[-8-12]\\\\\\S_7 = \frac{7}{2} * -20\\\\S_7 = -70$

The sum of the nth term of the sequence will be;

$S_n = \frac{n}{2}[2(-4)+(n-1)(-2)]\\\\S_n = \frac{n}{2}[-8+(-2n+2)]\\\\S_n = \frac{n}{2}[-6-2n]\\\\S_n = \frac{-6n}{2} - \frac{2n^2}{2}\\S_n = -3n-n^2\\\\S_n = -n(3+n)$

The sigma notation will be expressed as $\sum\left {{7} \atop {1}} \right -n(3+n)$ . The limit ranges from 1 to 7 since we are to find the sum of the first seven terms of the series.

3 0

3 years ago