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Leokris [45]
3 years ago
11

Identify the first five terms of the sequence in which a1 = 5 and an = 2an−1−3 for n ≥ 2.

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer:

5, 7, 11, 19, 35

Step-by-step explanation:

Using the recursive formula and a₁ = 5 , then

a₂ = 2a₁ - 3 = (2 × 5) - 3 = 10 - 3 = 7

a₃ = 2a₂ - 3 = (2 × 7) - 3 = 14 - 3 = 11

a₄ = 2a₃ - 3 = (2 × 11) - 3 = 22 - 3 = 19

a₅ = 2a₄ - 3 = (2 × 19) - 3 = 38 - 3 = 35

Thus the first 5 terms are

5, 7, 11, 19, 35

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1/5 and 5/6 <br> what number could be a common denominator for these two fractions:
Likurg_2 [28]
30 because 5x6= 30. All you have to do if the fractions are already simplified, is multiply the denominators together.
5 0
2 years ago
Which sets of side lengths represent Pythagorean triples? Check all that apply.
marshall27 [118]

Answer:

08, 15, 17

Step-by-step explanation:

Use the Pythagorean theorem.

Where the sum of both legs squared is equal to the hypotenuse squared.

8² + 15² = 17²

64 + 225 = 17²

289 = 17²

289 = 289

The side lengths that represent Pythagorean triplets are 08, 15, 17.

8 0
3 years ago
if the local rate for electrical service is 6cents per kilowatt-hour how much money would be saved in a year by using a dishwash
dezoksy [38]

Given:

The local rate for electrical service is 6 cents per kilowatt-hour.

We need to know how much money would be saved in a year by using a dishwasher 4times per week rather than 6 times per week ​

From the table:

The cost of using a dishwasher 4 times per week = $29

The cost of using a dishwasher 6 times per week = $44

So, the saving will be = 44 - 29 = 15

So, the answer will be $15

3 0
1 year ago
The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.
topjm [15]
- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles). 
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°
4 0
3 years ago
Consider the equation .(-22+3x/3x+7)=2
Sliva [168]
Https://www.cymath.com/answer?q=(-22%2B3x%2F3x%2B7)%3D2


The answer to your question is here. Hope this helps.
3 0
3 years ago
Read 2 more answers
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