A sequence starts:
1 answer:
Answer:
see explanation
Step-by-step explanation:
Given the sequence
1, 4, 9, 16, ....
has n th term
= n²
(a)
Given the sequence 2, 5, 10, 17, ......
Note the terms are 1 more than the previous given sequence, thus
= n² + 1
(b)
Given 2, 8, 18, 32, ......
Note the terms are twice the original given sequence, thus
= 2n²
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Answer: y= -5/2x+3
Explanation: by converting the equation into slope-intercept form you can use the slope and y-intercept given in the equation to graph.
Step-by-step:
5x= -2y+6
2y= -5x+6
Y= -5/2x+3
Slope= -5/2x
Y-intercept= 3
Explanation: by converting the equation into slope-intercept form you can use the slope and y-intercept given in the equation to graph.
Step-by-step:
5x= -2y+6
2y= -5x+6
Y= -5/2x+3
Slope= -5/2x
Y-intercept= 3
The sequence is given by the rule 
.
This means that the first, second and third terms of the sequence,
, are as follows:
.
.
Now, we can clearly see that 10-6=6-2 = 4. The sequence is arithmetic since the difference between two consecutive terms is the same.
We can also clearly see that the common difference is 4.
Remark: even without computing 2, 6, 10 above, we could see that each term contains one more 4 than the previous term. This is the only thing that changed, while 2 remained "intact".
Answer: Arithmetic; common difference d=4.
This means that the first, second and third terms of the sequence,
Now, we can clearly see that 10-6=6-2 = 4. The sequence is arithmetic since the difference between two consecutive terms is the same.
We can also clearly see that the common difference is 4.
Remark: even without computing 2, 6, 10 above, we could see that each term contains one more 4 than the previous term. This is the only thing that changed, while 2 remained "intact".
Answer: Arithmetic; common difference d=4.