What are the first four terms of an arithmetic sequence if the common difference is 1.5 and the first term is 15?
15,30,45,60
15,16.5,18,19.5
15,22.5,33.75,50.625
none of the above
What are the first four terms of a geometric sequence if the common ratio is 10 and the first term is 4.5?
4.5,.45,.045,.0045
4.5,9.0,13.5,18.0
4.5,14.5,24.5,34.5
none of the above
Thabnks for the help :)
Unit 5 lesson 1
1. C
2. B
3. C
4. B
5. D
Unit 5 lesson 1
1. C
2. B
3. C
4. B
5. D
still right for 2021
Hal is 100% right :)
still correct ^^^^
Jonas is correct for 2021 connexus
For the first question, since it is an arithmetic sequence with a common difference of 1.5 and the first term is 15, we can find the next terms by adding the common difference repeatedly.
To find the second term, we add 1.5 to the first term: 15 + 1.5 = 16.5
To find the third term, we add 1.5 to the second term: 16.5 + 1.5 = 18
To find the fourth term, we add 1.5 to the third term: 18 + 1.5 = 19.5
So, the first four terms of the arithmetic sequence with a common difference of 1.5 and a first term of 15 are 15, 16.5, 18, 19.5.
Therefore, the correct answer is option B: 15, 16.5, 18, 19.5.
For the second question, since it is a geometric sequence with a common ratio of 10 and the first term is 4.5, we can find the next terms by multiplying the common ratio repeatedly.
To find the second term, we multiply the first term by the common ratio: 4.5 * 10 = 45
To find the third term, we multiply the second term by the common ratio: 45 * 10 = 450
To find the fourth term, we multiply the third term by the common ratio: 450 * 10 = 4500
So, the first four terms of the geometric sequence with a common ratio of 10 and a first term of 4.5 are 4.5, 45, 450, 4500.
Therefore, the correct answer is option D: none of the above.
I hope this helps! Let me know if you have any more questions.
For your first question the answer is...
15,16.5,18,19.5
because the first number is 15 and you can add 1.5 to each of the values to get the next value.
For your second question the answer is either the top or the bottom depending on how you are using the ratio.