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Maths

Asked by Sahma · 3 years ago

How do you find the nth term of the sequence: 5,14,29,50,77 I got 3n²+2+2. Is that correct?

Simply the answer is incorrect if you substitute n=1 for first term in your equation you’ll get 7 while it should be 5. The correct answer is as follows 5 14. 29. 50 First diff 9. 15. 21 Second diff is 6 for all So Quadratic series an^2+bn+c 2a =6 gives a=3 and 3a+b = 9 gives b=0 and a+b+c= 5 sub gives c= 2 Hence series is 3n^2 +2

Maths

Asked by Emre · 4 years ago

Whats the equation which passes through (-3,-1 and (3,-4)?

To work out the equation of the line that passes through this point you know it will be in the form y=mx +c, where m is gradient of the line and c the y-intercept To work out the gradient, use the two points to calculate the change in y divided by the change in x, (-4-(-1))/(3-(-3)) = -3/6= -1/2 To work out the y intercept, y =-1/2x +.c plug in any of the co-ordinates on the line to work out c

Maths

Asked by Sahma · 4 years ago

How do you find the nth term of the sequence: 3,12,25,42?

To find the nth term of this sequence, the first step is to find the common difference between each term; the difference between 3 and 12 is 9 and then the difference between 25 and 12 is 13. The second step is to find the second difference which is between 13 and 9 which is 4. We have found the second difference of the sequence which is 4. We have noticed this is a quadratic sequence and the seco... more

Extremely passionate in being able to teach students and see them progress.

1515Students
helped

3Questions
answered

£20Per
hour