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Amanda [17]
2 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]2 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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The sweet sweet shop charges $8.45 for a pound of chocolate covered almonds. If Britain buys 1.5 pounds of the almonds, how much
choli [55]

Answer:

$12.68

Step-by-step explanation:

Multiply the price of one pound by the amount of pounds you're buying,

8.45 x 1.5

= 12.675

Round up

= 12.68

5 0
3 years ago
Can I please have help?
givi [52]
-12+-12=-24
-6+-6=-12
-11+-11=-22
-10+-10=-20
-9+-9=-18
-8+-8=-16
-7+-7=-14
-5+-5=-10
-4+-4=-8
-3+-3=-6
-1+-1=-2
1+1=2
2+2=4
3+3=6
4+4=8
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8 0
3 years ago
WILL GIVE BEST RESPONSE
tino4ka555 [31]
We will use demonstration of recurrences<span>1) for n=1, 10= 5*1(1+1)=5*2=10, it is just
2) assume that the equation </span>10 + 30 + 60 + ... + 10n = 5n(n + 1) is true, <span>for all positive integers n>=1
</span>3) let's show that the equation<span> is also true for n+1, n>=1
</span><span>10 + 30 + 60 + ... + 10(n+1) = 5(n+1)(n + 2)
</span>let be N=n+1, N is integer because of n+1, so we have
<span>10 + 30 + 60 + ... + 10N = 5N(N+1), it is true according 2)
</span>so the equation<span> is also true for n+1, 
</span>finally, 10 + 30 + 60 + ... + 10n = 5n(n + 1) is always true for all positive integers n.
<span>
</span>
4 0
3 years ago
Human capital deepening refers to increases in a country’s population, including both births and immigration.
frozen [14]

Answer:

Based on what I researched that would be False.

Step-by-step explanation:

Human capital deepening is the increase of capital workers, it also includes skills or higher education.

4 0
2 years ago
Find the area........
Triss [41]

Answer:

6) 121.2 sq meters

7) 40 sq ft

8) 70 sq meters

Step-by-step explanation:

#6 and 7:  base x height

#8: base x height / 2

3 0
2 years ago
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