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Maslowich
3 years ago
11

What is S7 for 6 – 24 + 96 – 384 + ... ?

Mathematics
2 answers:
Dmitry [639]3 years ago
8 0
6 - 34 + 96 - 384 +... 
a 1 = 6 , a 2 = a 1 * ( - 4 ) ,  a 3 = a 2 * ( - 4 ), a 4 = a 3 * ( - 4)...
a 5 = - 384 * ( - 4 ) = 1,536
a 6 = 1536 * ( - 4 ) = - 6,144
a 7 = - 6,144 * ( - 4 ) = 24,576 
This is a sum of a geometric sequence:
S 7 = 6 - 24 + 96 - 384 + 1,536 - 6,144 + 24,576 = 19,662
Another way to solve this:
S 7 = a 1 * ( r^n - 1) / ( r - 1 ) = 6 * (( - 4) ^7 - 1 )/ (- 4 - 1)=
= 6 * (-16,385) / (-5 ) = 19,662
irakobra [83]3 years ago
8 0

The answer is <u>19,662</u>

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8 0
3 years ago
A 25 foot ladder is leaning against a tree. If the base of the ladder is 6 feet
Vera_Pavlovna [14]

9514 1404 393

Answer:

  24.3 ft

Step-by-step explanation:

If h is the height of the ladder up the tree, the geometry can be modeled as a right triangle with legs h and 6, and hypotenuse 25. The Pythagorean theorem gives you the relation ...

  h² +6² = 25²

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The ladder reaches about 24.3 feet up the tree.

4 0
3 years ago
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8 0
3 years ago
How would I be able to answer this?
Ilya [14]
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<u>
Find Volume: </u>

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<u>Find Surface Area:</u>

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3 years ago
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Marina CMI [18]
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3 kids, has a youngest child - means that the 3 kids have different ages.

I performed a prime factorization on 72.

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Possible age combination:

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6 0
3 years ago
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