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Brums [2.3K]
3 years ago
14

Write an explicit formula for the sequence and find the 18th term. -4, 12, -36...

Mathematics
2 answers:
lora16 [44]3 years ago
5 0

Answer:

Nth term = (4/3) × (-3)^n

18th term: 516560652 or 4 × 3¹⁷

Step-by-step explanation:

-4, 12 , -36...

Are terms of a Geometric progression with:

First term = -4

Common ratio = 12/-4 = -3

Nth term = -4 × (-3)^(n-1)

= -4 × (-3)^(n)/(-3)

= (-4/-3) ×3^n

= (4/3) × (-3)^n

18th term: n = 18

-4 × (-3)^(18-1)

-4 × (-3)¹⁷

4 × 3¹⁷

516560652

Molodets [167]3 years ago
4 0

Answer:

an = -4 * (-3)^ (n-1)

513560652

Step-by-step explanation:

We can find the common ratio

12/-4 = -3

r =-3

The explicit formula is

an =a1 r^(n-1)

an = -4 * (-3)^ (n-1)

We want the 18 th term

a 18 = -4 (-3) ^ 17

        513560652

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Answer:

54, 52, 26, 24, 22, -6, -4

Step-by-step explanation:


6 0
4 years ago
The total bill for the drinks and pizza comes out to be $17.28. How much should each person pay if they are to share the total b
sleet_krkn [62]

Answer:

5.76

Step-by-step explanation:

17.28/3

5 0
2 years ago
Read 2 more answers
Expand. (1-4m)(m^2-3m+8) your answer should be a polynomial in standard form.
sergiy2304 [10]

Answer:

 13m²−35m+8−4m³

Step-by-step explanation:

Expand (1 − 4m)(m² − 3m + 8) by multiplying each term in the first expression by each term in the second expression.

1m² + 1 (−3m) + 1 ⋅ 8 − 4m ⋅ m² − 4m (−3m) − 4m ⋅ 8

Simplify terms.

13m²−35m+8−4m³

8 0
2 years ago
How do you do this question?
Colt1911 [192]

Step-by-step explanation:

A Maclaurin series is a Taylor series that's centered at 0.

f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ

If we substitute f⁽ⁿ⁾(0) = (n + 1)!:

f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ

f(x) = ∑ₙ₌₀°° (n + 1) xⁿ

Use ratio test to find the radius of convergence.

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1

lim(n→∞)│(n + 2) x / (n + 1)│< 1

│x│< 1

R = 1

4 0
3 years ago
What is the gratest common factor of 84 and 108?
romanna [79]
84: 1,2,3,4,6,7,12,14,21,28,42
                                             
108: 1,2,3,4,6,9,12,18,27,36,54,108

Therefore, your G.C.F. is: 12


5 0
3 years ago
Read 2 more answers
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