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3 years ago

Find the 6th term of a geometric sequence with t1=5 and r = -1/2

1 answer:

5 0

In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,

An = (A₀)(r)ⁿ ⁻ ¹
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms.

Substitute the known values to the equation,

An = (5)(-1/2)⁶ ⁻ ¹
An = -5/32

Hence, the answer to this item is the third choice, -5/32.

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How do you do square roots totem pole

Igoryamba

Well the square root of a number is a number times its self equaling the number you're getting the square root of. For example:

<span>√ 25
</span>
To get sqrt of 25 we need to find a number times its self that equals 25. Lets try 8.

8 x 8 = 64

Well thats much too high, We'll try a lower number.

4 x 4 = 16

Just a little higher.

5 x 5 = 25

Since 5 times itself equals 25 that makes it the sqrt.

So, the √ 25 is 5.

7 0

3 years ago

I need help with this question!

34kurt

The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.

1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).

8 0

3 years ago

Find the sum of the geometric sequence. three divided by two, three divided by eight, three divided by thirty two, three divided

Lynna [10]

Answer: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

Step-by-step explanation: we have that

[3/2,3/8,3/32,3/128,3/512]

the sum of the geometric sequence is [3/2+3/8+3/32+3/128+3/512]

=(1/512)*[256*3+64*3+16*3+4*3]

=(3/512)*[256+64+16+4]

=(3/512)*[340]

=(1020/512)

=255/128---------> 1.9922

the answer is

1.9922

another way to calculate it

is through the following formula

∑=ao*[(1-r^n)/(1-r)]

where

ao---------> is the first term

r----------> is the common ratio between terms

n----------> is the number of terms

ao=1.5

r=1/4-----> 0.25

n=5

∑=1.5*[(1-0.25^5)/(1-0.25)]-------------> 1.99

8 0

3 years ago

Plzzzz help mehh its scientific notation and im putting alot o point for it

s344n2d4d5 [400]

$(7.2\cdot10^7)^2=7.2^2\cdot(10^7)^2=51.84\cdot10^{14}=\boxed{5.184\cdot10^{15}}=\\
\boxed{5,184,000,000,000,000}$

5 0

3 years ago

Yesterday you walked 1/3 mile .today you walked 1/2 mile. How far did you walk in those two days?

Makovka662 [10]

You walked 5/6 mile

1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile

7 0

3 years ago

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