Q7 of 202 Page 9

Find the common difference and write the next four terms of each of the following arithmetic progressions:

(i)


(ii)


(iii)


(iv)

(i)


Common difference, d = -2 – 1 = -3


A5= -8 – 3 = -11


A6= -11 – 3 = -14


A7= -14 – 3 = -17


A8= -17 – 3 = -20


(ii)


Common difference, d = -3 – 0 = -3


A5= -9 – 3 = -12


A6= -12 – 3 = -15


A7= -15 – 3 = -18


A8= -18 – 3 = -21


(iii)


Common difference, d = + 1 =


A4= + =


A5= + = = 4


A6= 4 + =


A7= + = =


(iv)


Common difference, d = + 1 =


A4= + =


A5= + =


A6= + =


A7= + = 0


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5

Show that the sequence defined by is not A.P.

 6

The general term of a sequence is given by .Is the sequence an A.P..? If so, find its 15th term and the common difference.

 8

Prove that no matter what is the real number a and b are, the sequence with nth term a+nb is always an A.P. What is the common difference?

 9

Write the sequence with nth term:

(i)


(ii)


(iii)


(iv)


Show that all of the above sequences form A.P.