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vovangra [49]
3 years ago
12

X

Mathematics
1 answer:
laila [671]3 years ago
5 0

PLEASE HELP ME!!!!!!!!!!!!!!$!!!!!!!!

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Find the explicit formula for the sequence? -1,4,-16,64......
Ede4ka [16]

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Step-by-step explanation:

Given sequence is:

-1,4,-16,64.....

We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.

Here

a_1 = -1\\a_2 = 4\\a_3 = -16\\a_4 = 64\\r = \frac{a_2}{a_1} = \frac{4}{-1} = -4\\r = \frac{a_3}{a_2} = \frac{-16}{4} = -4

The explicit formula for geometric sequence is:

a_n = a_1r^{n-1}

Putting the values of r and a1

a_n = -1 . (-4)^{n-1}

Hence

The explicit formula for given sequence is: a_n = -1 . (-4)^{n-1}

Keywords: Geometric sequence, common ratio

Learn more about geometric sequence at:

  • brainly.com/question/4767370
  • brainly.com/question/4770453

#learnwithBrainly

5 0
3 years ago
Point I is on line segment HJ. Given HJ = 15 and IJ<br> HI.<br> 10, determine the length
melomori [17]

Answer:

Point I is on line segment HJ; which means HI and IJ are equal.

HJ = 15

IJ = 10

Finding the length of HI, given the above statements:

Length of HI = 10 (reason: HI and IJ are congruent)

8 0
3 years ago
The tree is tilted 14 degrees. Find the value of x
Mashutka [201]
I think it's 76 degrees
8 0
3 years ago
Read 2 more answers
What is the mass of an atom that has 7 protons, 7 neutrons, and 7 electrons
viva [34]

Answer:

Nitrogen has an atomic number of 7 (Z=7) because it has 7 protons in its nucleus.

I think that's what you're looking for

?? I can always be wrong.

Good luck, hope this helped!

3 0
3 years ago
A. y:24=6:y<br><br> Can someone please help me
Nikolay [14]

Answer:

y = ± 12

Step-by-step explanation:

Given

y : 24 = 6 : y, or in fraction form

\frac{y}{24} = \frac{6}{y} ( cross- multiply )

y² = 144 ( take the square root of both sides )

y = ± \sqrt{144} = ± 12

6 0
3 years ago
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