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3 years ago

These are the first six terms of a sequence with a = 2:

Mathematics

2 answers:

soldi70 [24.7K]3 years ago

6 0

Answer: The formular for this sequence is AR^n-1 (that is, A multiplied by R{raised to the power of n minus 1} )

Step-by-step explanation:This is a geometric progression in which every term is calculated by multiplying each previous term by a common ratio.

The common ratio here is 7, which is derived as

14/2, or 98/14, or 686/98, or 4802/686...

In simply put, R is derived as Tn/Tn-1, where Tn is the nth term and Tn-1 is the previous term.

Therefore the formular for this progression is given as

AR^n-1

Where A = 2, R = 7 and n = the nth term.

SpyIntel [72]3 years ago

3 0

Answer:

Step-by-step explanation:

98÷14

686÷98

4 802÷686

33 614÷4 802

Then the common ratio q for this sequence is 7

recursive formula : an+1 = q×an = ?

an= a1 × qⁿ⁻¹

=2×7ⁿ⁻¹

an+1 = q×an

= 7×(2×7ⁿ⁻¹)

= 2×7ⁿ

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Given: ABCD trapezoid<br> BC=1.2m, AD=1.8m<br> AB=1.5m, CD=1.2m<br> AB∩CD=K<br> Find: BK and CK

stepladder [879]

Answer:

The value of BK is 3m and the value of CK is 2.4m.

Step-by-step explanation:

Given information: ABCD trapezoid

, BC=1.2m, AD=1.8m

, AB=1.5m, CD=1.2m

, AB∩CD=K.

Using the given information draw a figure.

Two sides of a trapezoid are parallel.

Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

$AD\parallelBC$

$\angle KBC=\angle KAD$ (Corresponding angles)

$\angle KCB=\angle KDA$ (Corresponding angles)

By AA rule of similarity

$\triangle KBC\sim \triangle KAD$

Corresponding sides of similar triangles are proportional.

$\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}$

$\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}$

$\frac{x}{x+1.5}=\frac{1.2}{1.8}$

$\frac{x}{x+1.5}=\frac{2}{3}$

$3x=2x+3$

$x=3$

The length of BK is 3 m.

$\frac{y}{y+1.2}=\frac{1.2}{1.8}$

$\frac{y}{y+1.2}=\frac{2}{3}$

$3y=2y+2.4$

$y=2.4$

The length of CK is 2.4 m.

5 0

3 years ago

Read 2 more answers

Please I need help with this problem it’s due in a few minutes.

Katen [24]

Answer:

put the other answer in

Step-by-step explanation:

8 0

3 years ago

A line passes through the point (6,-3) and has a slope of -3/2 write an equation in slope intercept form

Vadim26 [7]

Answer:

y = - $\frac{3}{2}$ x + 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

here m = - $\frac{3}{2}$ , hence

y = - $\frac{3}{2}$ x + c ← is the partial equation

to find c substitute (6, - 3 ) into the partial equation

- 3 = - 9 + c ⇒ c = - 3 + 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation in slope- intercept form

5 0

3 years ago

I feel like a complete idiot for not know this. help..please.

Serjik [45]

Answer:

B. x+60+90=180

Step-by-step explanation:

You selected the right choice yay!!

A line will always equal 180 and we are given three things that must equal 180. Also, what is on the top is the same as the bottom so x applies.

x+60+90=180

6 0

3 years ago

erics cell phone service costs $40.00 a month for unlimited calls. he also pays $0.02 for each text message he sends. what equat

KatRina [158]

Answer:

40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

3 0

3 years ago