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kkurt [141]
2 years ago
9

Write explicit formula for a1=3, r=-2; then generate 1st 5 terms

Mathematics
1 answer:
Crazy boy [7]2 years ago
6 0

Answer:

  • an = 3(-2)^(n-1)
  • 3, -6, 12, -24, 48

Step-by-step explanation:

These variable names, a1, r, are commonly used in relationship to geometric sequences. We assume you want the terms of a geometric sequence with these characteristics.

a1 is the first term. r is the ratio between terms, so is the factor to find the next term from the previous one.

  a1 = 3  (given)

  a2 = a1×r = 3×(-2) = -6

  a3 = a2×r = (-6)(-2) = 12

  a4 = a3×r = (12)(-2) = -24

  a5 = a4×r = (-24)(-2) = 48

The first 5 terms are 3, -6, 12, -24, 48.

__

The explicit formula for the terms of a geometric sequence is ...

  an = a1×r^(n -1)

Using the given values of a1 and r, the explicit formula for this sequence is ...

  an = 3(-2)^(n -1)

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Sound travels about 340m/s the function d(t)=340t gives the distance d(t) in meters that sound travel in t seconds how far does
Lunna [17]

Answer: 10540 meters

Step-by-step explanation:

d(t) = 340t

to find how far it travels in 31 seconds, plug 31 into t

d(31) = 340 * 31

d(31) = 10540 meters

4 0
3 years ago
Determine the number of solutions for each quadratic.
DiKsa [7]

Answer:

1. Technically 2, but might be 0 in your teacher's opinion.

2. 1

Step-by-step explanation:

Solving problem one.

So I don't know if you have learned about imaginary numbers, but if you have, then you would end up with two answers if you plugged in the quadratic formula.

If you haven't learned about imaginary numbers, then I would say your best option would be to write 'No real solution' since there are technically 2 solutions.

Solving problem two.

Turns out this quadratic has a special property and it's actually a square of one equation. You can find out by just factoring the equation.

It's (3x-2)^2.  Since it's squared, that means that only 2/3 would work as x in this equation.

4 0
3 years ago
Answers or correcting please
Mariulka [41]

Answer:

Looks right to me! Great work!

4 0
2 years ago
How do you do this (the first one)? i've been sitting trying to do this for literally half an hour.
joja [24]
Spain = 140
Italy = 40
France = 60
U.S.A = 120
total = 18,000,000

Spain : 140/360 = 39%.....0.39(18,000,000) = 7,020,000
Italy : 40/360 = 11%....0.11(18,000,000) = 1,980,000
France : 60/360 = 17%....0.17(18,000,000) = 3,060,000
U.S.A : 120/360 = 33%...0.33(18,000,000) = 5,940,000



6 0
3 years ago
Find the product of (–d + e)(4e + d). Which statements are true? Check all that apply.
yulyashka [42]
In equation, (-d + e)( 4e + d) will be (-4ed - d^2 + 4e^2 +ed ) to simplify we combine the terms with the same variables such as d^2, e^2 and ed. The equation becomes, 4e^2 - 3ed - d^2 . The product has 3 terms with a degree of 2. The statements that are true are B and E.
3 0
2 years ago
Read 2 more answers
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