Determine if the sequence is arithmetic. If it is, find the common difference

1) 35, 32, 29, 26, ... 2) −3, −23, −43, −63, ...

3) −34, −64, −94, −124, ... 4) −30, −40, −50, −60, ...

5) −7, −9, −11, −13, ... 6) 9, 14, 19, 24, ...

asked Oct 23, 2018 in ALGEBRA 2 by anonymous

Share this question

2 Answers

35, 32, 29, 26,......

t1 = 35

t2 = 32

t3 = 29

d = t2 - t1 or d = t3 - t2

= 32 - 35 = 29 - 32

= -3 = -3

Above Differences are equal

Hence, Given Series is in AP

Difference (d) = -3

−3, −23, −43, −63,.....

t1 = - 3

t2 = - 23

t3 = - 43

d = t2 - t1 or d = t3 - t2

= -23 + 3 = -43 + 63

= - 20 = - 20

Above Differences are equal

Hence, Given Series is in AP

Difference (d) = -20

−34, −64, −94, −124, ...

t1 = - 34

t2 = - 64

t3 = - 94

d = t2 - t1 or d = t3 - t2

= -64 + 34 = - 94 + 64

= - 30 = - 30

Above Differences are equal

Hence, Given Series is in AP

Difference (d) = -30

answered Oct 24, 2018 by homeworkhelp Mentor
edited Oct 24, 2018 by homeworkhelp

Contd.......

−30, −40, −50, −60, ...

t1 = - 30

t2 = - 40

t3 = - 50

d = t2 - t1 or d = t3 - t2

= -40 + 30 = -50 + 40

= - 10 = - 10

Above Differences are equal

Hence, Given Series is in AP

Difference (d) = -10

−7, −9, −11, −13, ...

t1 = - 7

t2 = - 9

t3 = - 11

d = t2 - t1 or d = t3 - t2

= -9 + 7 = -11 + 9

= - 2 = - 2

Above Differences are equal

Hence, Given Series is in AP

Difference (d) = -2

9, 14, 19, 24, ...

t1 = 9

t2 = 14

t3 = 19

d = t2 - t1 or d = t3 - t2

= 14 - 9 = 19 - 14

= 5 = 5

Above Differences are equal

Hence, Given Series is in AP

Difference (d) = 5

Answer :

1) Series is in AP and Difference (d) = -3

2) Series is in AP and Difference (d) = -20

3) Series is in AP and Difference (d) = -30

4) Series is in AP and Difference (d) = -10

5) Series is in AP and Difference (d) = -2

6) Series is in AP and Difference (d) = 5.

answered Oct 24, 2018 by homeworkhelp Mentor

Most popular tags

Determine if the sequence is arithmetic. If it is, find the common difference

Please log in or register to add a comment.

Please log in or register to answer this question.

2 Answers

Please log in or register to add a comment.

Please log in or register to add a comment.

Related questions