H(1)=-35<br><br>h(n)=h(n-1)*2<br><br>h(3)=

The first 5 terms of a sequence are shown below:

nirvana33 [79]

Step-by-step explanation:

To find the formula for the nth term ,

First , find the common difference or common ratio.

Common difference =

$T_2-T_1 \\ - 2 - 3 \\ = - 5$

Common ratio =

$T_2/T_1 \\ \frac{ - 2}{3}$

The common difference applies to the other given numbers for example :

$T_3- T_2 = - 7 - ( - 2) \\ = - 7 + 2 = - 5$

this proves that it is an arithmetic sequence and the given formula for the nth term of an arithmetic sequence is

T_n =a(n-1)d

Where n = no of terms

a= first term

d= common difference

6 0

3 years ago

A rectangular region is removed from another rectangular region to create the shaded region shown below. Find the area of the sh

Mila [183]

Answer:

52

Step-by-step explanation:

Area of bigger rectangle (A1)= 9×11=99

Area of smaller rectangle(A2)=8×6=48

Area of shaded region(A)=99-48=52

6 0

3 years ago

Money Flow The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the

77julia77 [94]

Answer:

Present value = $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5% compounded continuously

Now,

Accumulated Value of the money flow = $1000e^{0.05t}$

The present value of the money flow = $\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt$

= $1000\int\limits^4_0 {e^{0.015t}} \, dt$

= $1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4$

= $1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]$

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = $e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt$

= $e^{0.035\times4}\times4,122.4$

= $4,742

8 0

2 years ago

A group of astronomers observed light coming from a star located a distance of 331,000,000,000,000,000,000,000,000 light-years f

alexdok [17]

To show this number using scientific notation, you will look at where the decimal point is and imagine that in the original number. Then count the number of place values to the right of this. That will be the exponent that belongs with the 10 because that is how many place values (groups of 10s) the number has past the decimal point.

The answer is 3.31 x 10^26 light years. ^ means to the power of.

6 0

2 years ago

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If 12 1/2% of a sum of money is $40, what is the total sum of money?

GarryVolchara [31]

Answer:

i think its 320

Step-by-step explanation:

i looked it up

8 0

2 years ago

Read 2 more answers

H(1)=-35h(n)=h(n-1)*2h(3)=