colin has a square garden with an area of 97 square feet feet. what is the length of each side of the garden

Mathematics

1 answer:

quester [9]3 years ago

8 0

The length of each side is about 9.85 feet

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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

8 0

2 years ago

QUICK QUICK PLZZ! 1 MINUTE ONLY WITH SOLUTION!

Ivahew [28]

Answer:

I'm pretty sure it's the 8 feet deep hole

Step-by-step explanation:

You're earning 8 dollars so that can't be negative.

Temperature can be negative but it doesn't have the - in front of it.

It would be a confusing question if that's the answer because then you'd be basically guessing at it.

I don't think it's the throw because you can't actually throw in negative/throw backwards for it to be negative.