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Amanda [17]
3 years ago
9

A sequence of numbers a1, a2, a3, . . . is defined as follows: a1 = 3, a2 = 5, and every term in the sequence after a2 is the pr

oduct of all terms in the sequence preceding it, e.g., a3 = (a1)(a2) and a4 = (a1)(a2)(a3). If an = t and n > 2, what is the value of an+2 in terms of t ?
(A) 4t (B) t^2 (C) t^3 (D) t^4 (E) t^8
Mathematics
1 answer:
Dmitry [639]3 years ago
6 0

Answer:

  (D)  t^4

Step-by-step explanation:

You have defined ...

  a3 = a2·a1

  a4 = a3·(a2·a1) = a3²

  a5 = a4·(a3·a2·a1) = a4² = (a3²)² = a3⁴

Then if a3 = t, a5 = t⁴

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Pablo's Gourmet Pretzel Shop specializes in selling the very finest chocolate covered pretzels. Rico bought 4 white chocolate pr
Evgen [1.6K]

Answer:

Step-by-step explanation:

Let x represent the cost of one white chocolate pretzel.

Let y represent the cost of one dark chocolate pretzel.

Rico bought 4 white chocolate pretzels and 6 dark chocolate pretzels for $10.50. This means that

4x + 6y = 10.5 - - - - - - - - - - -1

Holden bought 8 white chocolate and 3 dark chocolate pretzels for $9.75. This means that

8x + 3y = 9.75 - - - - - - - - - 2

Multiplying equation 1 by 8 and equation 2 by 4, it becomes

32x + 48y = 84

32x + 12y = 39

Subtracting, it becomes

36y = 45

y = 45/36 = $1.25

Substituting y = 1.25 into equation 1, it becomes

4x + 6 × 1.25 = 10.5

4x + 7.5 = 10.5

4x = 10.5 - 7.5 = 3

x = 3/4 = $0.75

the total cost for 6 white chocolate pretzels and one dark chocolate pretzel would be

6 × 0.75 + 1 × 1.25 = 4.5 + 1.25 = $5.75

7 0
3 years ago
Which counterexample shows that the conjecture "All animals that can fly are birds" is false?
QveST [7]
It seems like you forgot to post the answer choices. However, bats are one animal where they can fly but they aren't birds. So this is one counter-example to prove the claim false. Another example would be any flying insects. 
3 0
3 years ago
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Find the Value of X Please
Yanka [14]

Answer:

x=6

Step-by-step explanation:

3x-5=2x+1

x-5=1

x=6

6 0
3 years ago
Which equations represent functions? ​
Margaret [11]

Answer:

4x =16

Step-by-step explanation:

Hope this helps :)

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Which of the following is equivalent to (mn)3?<br>  3mn<br>  m3n<br>  mn3<br>  m3n3
Nat2105 [25]
(mn)3 = 3(mn) = 3 * m * n
so your answer is 3mn
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3 years ago
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