Given that the recursive formula for a sequence is
The first term of the sequence is
We need to determine the first four terms of the sequence.
<u>Second term:</u>
The second term of the sequence can be determined by substituting n = 2 in the recursive formula.
Thus, we have;
Thus, the second term of the sequence is 8.
<u>Third term:</u>
The third term of the sequence can be determined by substituting n = 3 in the recursive formula.
Thus, we have;
Thus, the third term of the sequence is 14.
<u>Fourth term:</u>
The fourth term of the sequence can be determined by substituting n = 4 in the recursive formula.
Thus, we have;
Thus, the fourth term of the sequence is 22.
Hence, the first four terms of the sequence is 4, 8, 14, 22.
Answer: I think it’s d
Step-by-step explanation:
Answer:
She's giving you advice at the beginning so as you read along you focus on that and it changes your perspective on the characters, setting, or what's happening in the story.
Step-by-step explanation:
Answer:
x = (-9)
Step-by-step explanation:
From the diagram, we see that the triangle is an isosceles triangle. Since it is an isosceles triangle we know that the angles at the base of an isosceles triangle are equal to each other, so the angles that is not marked will be equal to m∠2. Since now we know that, we can make the following equation...
m∠2 + m∠2 + 84 = 180
Now we solve it and get...
2(m∠2) = 180 - 84
2(m∠2) = 96
m∠2 = 48
Now we substitute m∠2 with x + 57, and get...
m∠2 = 48
x + 57 = 48
x = 48 - 57
x = (-9)
Step-by-step explanation and answers:
300 articles at a total cost of $1500:
$1500 / 300 = $5 / article
Sells 260 articles at a price 20% above this ^ price:
20% of $5 is $1, so $5 + $1 = $6
Then he sells 260 articles at the price of ^ $6
260 * $6 = $1560
Each of the remaining articles is sold at a price that's 50% of the 260 he sold.
He sold those for $6, so he would now sell the last 40 for $3
From the remaining 40 articles, he makes 40 * $3, or $120
The shopkeeper made $1560 + $120 = $1680, which is $180 more than he bought them for ($1500)
Therefore, he made a profit percentage of $180 / $1500, (the amount of profit over the amount spent).
He made a profit percentage, compared to the cost price, of 12%.