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Darya [45]
3 years ago
13

Write a recursive formula for the sequence of numbers.

Mathematics
2 answers:
drek231 [11]3 years ago
8 0

Step-by-step explanation:

an = a1 + 4×[2^(n -1) - 1]

---------------------------------

Advocard [28]3 years ago
7 0

9514 1404 393

Answer:

  a[1] = 3

  a[n] = 2×a[n-1] +1

Step-by-step explanation:

We observe the first differences are ...

  7-3 = 4

  15-7 = 8

  31-15 = 16

  63-31 = 32

The first differences increase by a factor of 2, so we expect the recursive formula will have a term that looks like "2×a[n-1]".

The second term is 2·3+1 = 7.

The third term is 2·7+1 = 15.

This suggests our recursive formula is ...

  a[1] = 3

  a[n] = 2×a[n-1] +1

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the distance that a spring will stretch varies directly as the force applied to the spring. A force of 12 pounds is needed to st
vodka [1.7K]

Answer:

Force required, F = 20 pounds

Step-by-step explanation:

We have given,

force needed to stretch a spring , F = 12 pounds

Stretched length, x = 9 inches

Since, spring force formula can be given as: F = kx

i.e 12 = k · 9

or k = \frac{12}{9} = 4/3

Now we need to find force for the stretch length = 15 inches

i.e F = kx   , here x =15inches , k = 4/3 and F= ?

or F = (4/3) · 15

or F = 20 pounds

Hence force required, F= 20 pounds

4 0
3 years ago
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Question 7
umka21 [38]

Answer:

A. √16

Step-by-step explanation:

A perfect square is any number that can be expressed as a product of an integer and itself. i.e. 4 can be represented as 2 × 2. Therefore, 4 is a perfect square.

From the options given, the only radical expression that has two perfect square is √16.

√16 consists of two perfect squares, which are 4 and 4.

4 can be expressed as 2 × 2.

Thus: √16 = √(2 × 2)(2 × 2).

Therefore, √16 consists of two perfect squares.

5 0
3 years ago
The cost of one can of soda if 6 cans cost n
Arturiano [62]

Answer

if 6 cans cost n

1 can would cost n/6

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6 cans cost 12

1 can would cost 12/6

which is 2

8 0
3 years ago
Pleaseeeee helpppp!!! <br> what is BC ? how many units
balandron [24]

Answer:The answer is 25 units.

Step-by-step explanation:

here, ∡ABC=∡ACB

so, the given triangle is an isosceles triangle.

this means side  AB and side AC are equal

so, you can write 4x+4=6x-14

solving this equation, we get x=9

finally, BC=2x+7=2*9+7=25

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3 years ago
Adam has saved 35% of the $400 he needs to save to buy a bike.how much money has adam saved so far
Lady_Fox [76]
He has saved $140
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