All categories

2 years ago

Find a formula for a geometric sequence that begins with 7, 35, 175,...

Mathematics

2 answers:

Svetllana [295]2 years ago

4 0

Answer:

○ b. $\displaystyle b_n = 7(5)^{n - 1}$

Step-by-step explanation:

The original term is "7", the common ratio is "5", and finally, you set the exponent to the power of "<em>n</em><em> </em>- 1".

I am joyous to assist you anytime.

alisha [4.7K]2 years ago

3 0

a = 7

r = 35/7 = 5

a × r^(n-1)

7 × 5^(n-1)

You might be interested in

In triangle ABC, Aat the top of the triangle, B at 90° and C at the third end, angle C = 21°, the hypotenus = 15m,find BC = y th

dsp73

Answer

Step-by-step explanation:

Law of sines: SinB/15 = SinA/BC

B = 90

A = 180-90-21=69°

BC= (15*SinA)/SinB = (15*sin69)/1 ≈ 14m

7 0

2 years ago

Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown

KiRa [710]

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be $\frac{7-0}{2-0} =3.5$ minutes per mile. (Answer)

6 0

3 years ago

Subtract five from three times a number and the result is equal to the number plus five. find the number.

allsm [11]

3(x)-5=x+5
3x=-5+5+x
3x=x
0=x
because 3x=x is basically would make each part into 0 which would end up the same.

6 0

3 years ago

Plz help i beg uu. Will give branliest

icang [17]

I think the answer would be C :$:$:$:$:$:$:$:$:&:$

4 0

2 years ago

Read 2 more answers

Use factoring to solve the quadratic equation x2 − 2x − 3 = 12.

melomori [17]

Answer:

$x_1=5\\x_2=-3$

Step-by-step explanation:

You have the following quadratic equation given in the problem:

$x^{2}-2x-3=12$

You must make the equation equal to zero, as following:

$x^{2}-2x-3-12=0$

Add like terms:

$x^{2}-2x-15=0$

Now, to factor the equation, you must find two numbers whose sum is -2 and whose product is -15. Therefore, you have:

$(x-5)(x+3)=0\\x_1=5\\x_2=-3$

7 0

3 years ago

Read 2 more answers

Find a formula for a geometric sequence that begins with 7, 35, 175,...​

Find a formula for a geometric sequence that begins with 7, 35, 175,...