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2 years ago

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Mathematics

1 answer:

Travka [436]2 years ago

6 0

Answer:

by the number of edges it has

Step-by-step explanation:

cuz a prism has more sides than a pyramid

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What is the nth term?

kumpel [21]

Let $a_k$ denote the kth term of the sequence. Then

$a_k=a_1+d(k-1)$

where d is the common difference between consecutive terms in the sequence and a₁ is the first term.

The sum of the first n terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the nth term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

7 0

3 years ago

Part A

natulia [17]

Answer:

To find the measure of an interior angle of a regular polygon, take the sum of all interior angles and divide by the number of angles. The sum of all interior angles can be found by (n - 2)*180 where n is the number of sides, in this case 24. So all the interior angles add to 3960 degrees.

PLEASE SAID THANKS

7 0

2 years ago

-12b +6b -4b was the answer yo

Helen [10]

$- 10b$

when we add -12 and 6 we get -6

after that we subtract -6 from -4 to get -10

3 0

2 years ago

Read 2 more answers

How do I find the angle measurement of a rhombus

timofeeve [1]

125 is part of a supplementary angle so you need to subtract 125 from 180

which is 55
so the angle adjaecent to to the 125 angle is 55 degrees

3 0

3 years ago

EAR is rotated 180° about the origin. plsss help

olasank [31]

Answer:

rotating ΔEAR 180° inside the right angle parallelogram circumscribed by.

original coordinates:

A (-6, 4)

R (-2, 2)

E (-5, -6)

post rotation coordinates:

A (-2, -6)
R (-6, -4)
E (-3, 4)

5 0

2 years ago