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3 years ago

The base of a rectangular box has a width of 3 inches and a length of 4 inches. the box is 12 inches tall

Mathematics

1 answer:

storchak [24]3 years ago

8 0

3 x 4 x 12 = 144 if you need the volume. Hope this helps! :D

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1.the number is less than five hundred

soldier1979 [14.2K]

Answer:

412.

Step-by-step explanation:

412 =

1) less than 500

2) two even digits

3) quadrilaterals have 4 sides

4) 4 + 1 = 5 and there are 5 nickels in a quarter

5) the digital root of 412 is 7

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8÷2(2+2)<br><br> is it 1 or 16...

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3 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

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