1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikolay [14]
3 years ago
14

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

Mathematics
1 answer:
Ede4ka [16]3 years ago
5 0

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

You might be interested in
Pls answer number 6 fast pls someone help
attashe74 [19]

Answer:

It's in Quadrant IV.

..............

8 0
2 years ago
Read 2 more answers
Melanie began studying a sample of the chemical element einsteinium-253 which naturally loses its mass over time. The relationsh
mario62 [17]

Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

6 0
3 years ago
The sum of twenty and a number is 14.
Darina [25.2K]

Answer:-6

Step-by-step explanation:20+(-6)=14

6 0
3 years ago
What is the product of -1/2 x 1/8 in simplest form
hjlf

Answer: Edit: -0.0625

Step-by-step explanation:

3 0
2 years ago
Which of the following expressions is/are equivalent to 16x + 8-2?
sasho [114]
B. 24x2 is the correct answer
8 0
2 years ago
Other questions:
  • Given the following linear function sketch the graph of the function and find the domain and range.
    6·1 answer
  • A regular heptagon has a side length of 13.9 and an apothem of 14.4. Find the area of the regular heptagon.
    6·1 answer
  • 9. Which one of the following dealt with
    7·1 answer
  • What is the value of x?
    10·1 answer
  • Ayo, what's your opinion on blue haired girls?
    7·2 answers
  • 1)<br> What shape is this
    7·1 answer
  • Given g(x) = -x – 4, solve for x when g (x)= -4
    14·1 answer
  • Question 1 (1 point)
    10·2 answers
  • PLEASE HELP ME.. (no links)
    13·2 answers
  • What's the slope of (-3,3) and (-1,2)​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!