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3 years ago

6

An arithmetic sequence is represented by the recursive formula A(n) = A(n-1) + 8. If the first term in the sequence is 4, write

the explicit formula

1 answer:

Yuliya22 [10]3 years ago

4 0

Answer:

A(n) = 4 + 8(n-1)

Step-by-step explanation:

A(n) = A(n-1) + 8

A(1) = 4

So A(2) = A(1) + 8 = 4 + 8

A(3) = A(2) + 8 = A(1) + 8 + 8 = 4 + 8 + 8

A(n) = 4 + 8(n-1)

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IAS question - ❓❓❓❓❓❓A man starts frm his house with some money to visit four temples.1. As soon as he enters temple 1 his money

Natali5045456 [20]

Answer:

Rs 93.75

Step-by-step explanation:

Solution:

A man starts from his house with some money to visit four temples.

<u>1. As soon as he enters temple 1 his money gets doubled. </u>

Let he had money at first = $x$

After enter the 1st temple his money = $2x$

He donated = Rs 100

Money left after donation at 1st temple = $2x-100$

<u>2. At temple 2 again his money is doubled and he donates Rs 100</u>

He had at 2nd temple = $2(2x-100) =4x-200$

Donated = Rs 100

Money left after donation at 2nd temple = $4x-200-100=4x-300$

<u>3. His money is doubled again at temple 3 and he donates Rs 100.</u>

He had at 3rd temple = $2(4x-300)=8x-600$

Donated = Rs 100

Money left after donation at 3rd temple = $8x-600-100=8x-700$

<u>4. At temple 4 again his money gets doubled. He donates 100 rs. again and returns home empty handed.</u>

He had at 4th temple = $2(8x-700)= 16x-1400$

Donated = Rs 100

Money left after donation at 4th temple = $16x-1400-100 = 16x-1500$

<u>As he returned empty hand or with zero money, equation will be:-</u>

$16x-1500=0\\ \\ Adding\ both\ sides\ by\ 1500\\ \\ 16x=1500\\ \\ Dividing\ both\ sides\ by\ 16\\ \\ x=Rs \ 93.75$

Thus, he had Rs 93.75 when he started from his house.

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3 years ago

What is the correct order of steps to change 4x+2y=14 from standard to slope intercept form

inn [45]

Slope intercept form is y = -2x + 14

Step-by-step explanation:

Step 1: The original equation is 4x + 2y = 14.
Step 2: Rearrange so that x is first in the right hand side of the equation.

⇒ 2y = - 4x + 14

Step 3: Subtract 4x from both sides of the equation.

⇒ 2y = 14 - 4x

Step 4: Divide both sides of the equation by 2 so that coefficient of y is 1.

⇒ y = - 2x + 7

This is the slope intercept form y = mx + b

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